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Finding the Fourth Proportional to 482.26, 724.20 and 478.48

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Solution

The fourth proportional to 482.26, 724.20 and 478.48 is: 718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.26 : 724.20 = 478.48 : x
  2. Step 2: Convert to fraction form
    482.26/724.20 = 478.48/x
  3. Step 3: Cross multiply
    482.26x = 724.20 × 478.48
  4. Step 4: Simplify right side
    482.26x = 346,515.22
  5. Step 5: Solve for x
    x = 346,515.22/482.26
  6. Step 6: Final answer
    x = 718.52

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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.