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Finding the Fourth Proportional to 565.32, 847.06 and 462.65

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Solution

The fourth proportional to 565.32, 847.06 and 462.65 is: 693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 847.06 = 462.65 : x
  2. Step 2: Convert to fraction form
    565.32/847.06 = 462.65/x
  3. Step 3: Cross multiply
    565.32x = 847.06 × 462.65
  4. Step 4: Simplify right side
    565.32x = 391,891.83
  5. Step 5: Solve for x
    x = 391,891.83/565.32
  6. Step 6: Final answer
    x = 693.23

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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.