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Finding the Fourth Proportional to 526.27, 726.17 and 339.77

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Solution

The fourth proportional to 526.27, 726.17 and 339.77 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.27 : 726.17 = 339.77 : x
  2. Step 2: Convert to fraction form
    526.27/726.17 = 339.77/x
  3. Step 3: Cross multiply
    526.27x = 726.17 × 339.77
  4. Step 4: Simplify right side
    526.27x = 246,730.78
  5. Step 5: Solve for x
    x = 246,730.78/526.27
  6. Step 6: Final answer
    x = 468.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.