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Finding the Fourth Proportional to 524.28, 781.22 and 466.86

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Solution

The fourth proportional to 524.28, 781.22 and 466.86 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 781.22 = 466.86 : x
  2. Step 2: Convert to fraction form
    524.28/781.22 = 466.86/x
  3. Step 3: Cross multiply
    524.28x = 781.22 × 466.86
  4. Step 4: Simplify right side
    524.28x = 364,720.37
  5. Step 5: Solve for x
    x = 364,720.37/524.28
  6. Step 6: Final answer
    x = 695.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.