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Finding the Fourth Proportional to 592.34, 816.56 and 414.74

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Solution

The fourth proportional to 592.34, 816.56 and 414.74 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.34 : 816.56 = 414.74 : x
  2. Step 2: Convert to fraction form
    592.34/816.56 = 414.74/x
  3. Step 3: Cross multiply
    592.34x = 816.56 × 414.74
  4. Step 4: Simplify right side
    592.34x = 338,663.17
  5. Step 5: Solve for x
    x = 338,663.17/592.34
  6. Step 6: Final answer
    x = 571.74

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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.