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Finding the Fourth Proportional to 597.24, 896.58 and 381.24

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Solution

The fourth proportional to 597.24, 896.58 and 381.24 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 896.58 = 381.24 : x
  2. Step 2: Convert to fraction form
    597.24/896.58 = 381.24/x
  3. Step 3: Cross multiply
    597.24x = 896.58 × 381.24
  4. Step 4: Simplify right side
    597.24x = 341,812.16
  5. Step 5: Solve for x
    x = 341,812.16/597.24
  6. Step 6: Final answer
    x = 572.32

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.