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Finding the Fourth Proportional to 524.70, 724.80 and 469.44

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Solution

The fourth proportional to 524.70, 724.80 and 469.44 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 724.80 = 469.44 : x
  2. Step 2: Convert to fraction form
    524.70/724.80 = 469.44/x
  3. Step 3: Cross multiply
    524.70x = 724.80 × 469.44
  4. Step 4: Simplify right side
    524.70x = 340,250.11
  5. Step 5: Solve for x
    x = 340,250.11/524.70
  6. Step 6: Final answer
    x = 648.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.