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Finding the Fourth Proportional to 526.24, 726.87 and 443.62

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Solution

The fourth proportional to 526.24, 726.87 and 443.62 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.24 : 726.87 = 443.62 : x
  2. Step 2: Convert to fraction form
    526.24/726.87 = 443.62/x
  3. Step 3: Cross multiply
    526.24x = 726.87 × 443.62
  4. Step 4: Simplify right side
    526.24x = 322,454.07
  5. Step 5: Solve for x
    x = 322,454.07/526.24
  6. Step 6: Final answer
    x = 612.75

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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.