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Finding the Fourth Proportional to 437.13, 602.46 and 354.06

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Solution

The fourth proportional to 437.13, 602.46 and 354.06 is: 487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 602.46 = 354.06 : x
  2. Step 2: Convert to fraction form
    437.13/602.46 = 354.06/x
  3. Step 3: Cross multiply
    437.13x = 602.46 × 354.06
  4. Step 4: Simplify right side
    437.13x = 213,306.99
  5. Step 5: Solve for x
    x = 213,306.99/437.13
  6. Step 6: Final answer
    x = 487.97

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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.