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Finding the Fourth Proportional to 562.65, 843.99 and 407.84

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Solution

The fourth proportional to 562.65, 843.99 and 407.84 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.65 : 843.99 = 407.84 : x
  2. Step 2: Convert to fraction form
    562.65/843.99 = 407.84/x
  3. Step 3: Cross multiply
    562.65x = 843.99 × 407.84
  4. Step 4: Simplify right side
    562.65x = 344,207.13
  5. Step 5: Solve for x
    x = 344,207.13/562.65
  6. Step 6: Final answer
    x = 611.76

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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.