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Finding the Fourth Proportional to 602.96, 903.10 and 487.12

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Solution

The fourth proportional to 602.96, 903.10 and 487.12 is: 729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 903.10 = 487.12 : x
  2. Step 2: Convert to fraction form
    602.96/903.10 = 487.12/x
  3. Step 3: Cross multiply
    602.96x = 903.10 × 487.12
  4. Step 4: Simplify right side
    602.96x = 439,918.07
  5. Step 5: Solve for x
    x = 439,918.07/602.96
  6. Step 6: Final answer
    x = 729.60

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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.