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Finding the Fourth Proportional to 577.46, 864.14 and 462.65

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Solution

The fourth proportional to 577.46, 864.14 and 462.65 is: 692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 864.14 = 462.65 : x
  2. Step 2: Convert to fraction form
    577.46/864.14 = 462.65/x
  3. Step 3: Cross multiply
    577.46x = 864.14 × 462.65
  4. Step 4: Simplify right side
    577.46x = 399,787.74
  5. Step 5: Solve for x
    x = 399,787.74/577.46
  6. Step 6: Final answer
    x = 692.32

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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.