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Finding the Fourth Proportional to 592.70, 816.50 and 415.32

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Solution

The fourth proportional to 592.70, 816.50 and 415.32 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 816.50 = 415.32 : x
  2. Step 2: Convert to fraction form
    592.70/816.50 = 415.32/x
  3. Step 3: Cross multiply
    592.70x = 816.50 × 415.32
  4. Step 4: Simplify right side
    592.70x = 339,108.78
  5. Step 5: Solve for x
    x = 339,108.78/592.70
  6. Step 6: Final answer
    x = 572.14

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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.