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Finding the Fourth Proportional to 524.86, 724.34 and 288.82

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Solution

The fourth proportional to 524.86, 724.34 and 288.82 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.34 = 288.82 : x
  2. Step 2: Convert to fraction form
    524.86/724.34 = 288.82/x
  3. Step 3: Cross multiply
    524.86x = 724.34 × 288.82
  4. Step 4: Simplify right side
    524.86x = 209,203.88
  5. Step 5: Solve for x
    x = 209,203.88/524.86
  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.