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Finding the Fourth Proportional to 597.62, 824.58 and 411.06

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Solution

The fourth proportional to 597.62, 824.58 and 411.06 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 824.58 = 411.06 : x
  2. Step 2: Convert to fraction form
    597.62/824.58 = 411.06/x
  3. Step 3: Cross multiply
    597.62x = 824.58 × 411.06
  4. Step 4: Simplify right side
    597.62x = 338,951.85
  5. Step 5: Solve for x
    x = 338,951.85/597.62
  6. Step 6: Final answer
    x = 567.17

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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.