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Finding the Fourth Proportional to 526.87, 726.89 and 314.14

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Solution

The fourth proportional to 526.87, 726.89 and 314.14 is: 433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.87 : 726.89 = 314.14 : x
  2. Step 2: Convert to fraction form
    526.87/726.89 = 314.14/x
  3. Step 3: Cross multiply
    526.87x = 726.89 × 314.14
  4. Step 4: Simplify right side
    526.87x = 228,343.65
  5. Step 5: Solve for x
    x = 228,343.65/526.87
  6. Step 6: Final answer
    x = 433.40

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Why These Related Problems?

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