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Finding the Fourth Proportional to 601.34, 829.32 and 415.14

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Solution

The fourth proportional to 601.34, 829.32 and 415.14 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 829.32 = 415.14 : x
  2. Step 2: Convert to fraction form
    601.34/829.32 = 415.14/x
  3. Step 3: Cross multiply
    601.34x = 829.32 × 415.14
  4. Step 4: Simplify right side
    601.34x = 344,283.90
  5. Step 5: Solve for x
    x = 344,283.90/601.34
  6. Step 6: Final answer
    x = 572.53

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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.