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Finding the Fourth Proportional to 602.40, 901.08 and 547.92

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Solution

The fourth proportional to 602.40, 901.08 and 547.92 is: 819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 901.08 = 547.92 : x
  2. Step 2: Convert to fraction form
    602.40/901.08 = 547.92/x
  3. Step 3: Cross multiply
    602.40x = 901.08 × 547.92
  4. Step 4: Simplify right side
    602.40x = 493,719.75
  5. Step 5: Solve for x
    x = 493,719.75/602.40
  6. Step 6: Final answer
    x = 819.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.