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Finding the Fourth Proportional to 526.14, 726.08 and 329.78

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Solution

The fourth proportional to 526.14, 726.08 and 329.78 is: 455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.14 : 726.08 = 329.78 : x
  2. Step 2: Convert to fraction form
    526.14/726.08 = 329.78/x
  3. Step 3: Cross multiply
    526.14x = 726.08 × 329.78
  4. Step 4: Simplify right side
    526.14x = 239,446.66
  5. Step 5: Solve for x
    x = 239,446.66/526.14
  6. Step 6: Final answer
    x = 455.10

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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.