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Finding the Fourth Proportional to 526.53, 726.37 and 349.55

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Solution

The fourth proportional to 526.53, 726.37 and 349.55 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.53 : 726.37 = 349.55 : x
  2. Step 2: Convert to fraction form
    526.53/726.37 = 349.55/x
  3. Step 3: Cross multiply
    526.53x = 726.37 × 349.55
  4. Step 4: Simplify right side
    526.53x = 253,900.85
  5. Step 5: Solve for x
    x = 253,900.85/526.53
  6. Step 6: Final answer
    x = 482.21

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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.