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Finding the Fourth Proportional to 524.88, 724.32 and 288.84

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Solution

The fourth proportional to 524.88, 724.32 and 288.84 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.88 : 724.32 = 288.84 : x
  2. Step 2: Convert to fraction form
    524.88/724.32 = 288.84/x
  3. Step 3: Cross multiply
    524.88x = 724.32 × 288.84
  4. Step 4: Simplify right side
    524.88x = 209,212.59
  5. Step 5: Solve for x
    x = 209,212.59/524.88
  6. Step 6: Final answer
    x = 398.59

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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.