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Finding the Fourth Proportional to 487.40, 732.70 and 458.60

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Solution

The fourth proportional to 487.40, 732.70 and 458.60 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.40 : 732.70 = 458.60 : x
  2. Step 2: Convert to fraction form
    487.40/732.70 = 458.60/x
  3. Step 3: Cross multiply
    487.40x = 732.70 × 458.60
  4. Step 4: Simplify right side
    487.40x = 336,016.22
  5. Step 5: Solve for x
    x = 336,016.22/487.40
  6. Step 6: Final answer
    x = 689.41

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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.