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Finding the Fourth Proportional to 514.87, 772.30 and 437.65

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Solution

The fourth proportional to 514.87, 772.30 and 437.65 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.87 : 772.30 = 437.65 : x
  2. Step 2: Convert to fraction form
    514.87/772.30 = 437.65/x
  3. Step 3: Cross multiply
    514.87x = 772.30 × 437.65
  4. Step 4: Simplify right side
    514.87x = 337,994.07
  5. Step 5: Solve for x
    x = 337,994.07/514.87
  6. Step 6: Final answer
    x = 656.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.