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Finding the Fourth Proportional to 487.56, 732.02 and 305.18

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Solution

The fourth proportional to 487.56, 732.02 and 305.18 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.56 : 732.02 = 305.18 : x
  2. Step 2: Convert to fraction form
    487.56/732.02 = 305.18/x
  3. Step 3: Cross multiply
    487.56x = 732.02 × 305.18
  4. Step 4: Simplify right side
    487.56x = 223,397.86
  5. Step 5: Solve for x
    x = 223,397.86/487.56
  6. Step 6: Final answer
    x = 458.20

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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.