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Finding the Fourth Proportional to 478.53, 717.20 and 259.15

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Solution

The fourth proportional to 478.53, 717.20 and 259.15 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.53 : 717.20 = 259.15 : x
  2. Step 2: Convert to fraction form
    478.53/717.20 = 259.15/x
  3. Step 3: Cross multiply
    478.53x = 717.20 × 259.15
  4. Step 4: Simplify right side
    478.53x = 185,861.08
  5. Step 5: Solve for x
    x = 185,861.08/478.53
  6. Step 6: Final answer
    x = 388.40

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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.