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Finding the Fourth Proportional to 524.53, 723.86 and 291.66

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Solution

The fourth proportional to 524.53, 723.86 and 291.66 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.53 : 723.86 = 291.66 : x
  2. Step 2: Convert to fraction form
    524.53/723.86 = 291.66/x
  3. Step 3: Cross multiply
    524.53x = 723.86 × 291.66
  4. Step 4: Simplify right side
    524.53x = 211,121.01
  5. Step 5: Solve for x
    x = 211,121.01/524.53
  6. Step 6: Final answer
    x = 402.50

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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.