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Finding the Fourth Proportional to 478.60, 718.20 and 456.13

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Solution

The fourth proportional to 478.60, 718.20 and 456.13 is: 684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 718.20 = 456.13 : x
  2. Step 2: Convert to fraction form
    478.60/718.20 = 456.13/x
  3. Step 3: Cross multiply
    478.60x = 718.20 × 456.13
  4. Step 4: Simplify right side
    478.60x = 327,592.57
  5. Step 5: Solve for x
    x = 327,592.57/478.60
  6. Step 6: Final answer
    x = 684.48

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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.