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Finding the Fourth Proportional to 524.80, 724.20 and 288.75

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Solution

The fourth proportional to 524.80, 724.20 and 288.75 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 724.20 = 288.75 : x
  2. Step 2: Convert to fraction form
    524.80/724.20 = 288.75/x
  3. Step 3: Cross multiply
    524.80x = 724.20 × 288.75
  4. Step 4: Simplify right side
    524.80x = 209,109.13
  5. Step 5: Solve for x
    x = 209,109.13/524.80
  6. Step 6: Final answer
    x = 398.46

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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.