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Finding the Fourth Proportional to 597.46, 825.12 and 411.43

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Solution

The fourth proportional to 597.46, 825.12 and 411.43 is: 568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 825.12 = 411.43 : x
  2. Step 2: Convert to fraction form
    597.46/825.12 = 411.43/x
  3. Step 3: Cross multiply
    597.46x = 825.12 × 411.43
  4. Step 4: Simplify right side
    597.46x = 339,479.12
  5. Step 5: Solve for x
    x = 339,479.12/597.46
  6. Step 6: Final answer
    x = 568.20

Related Problems

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.