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Finding the Fourth Proportional to 614.63, 847.92 and 410.05

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Solution

The fourth proportional to 614.63, 847.92 and 410.05 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.63 : 847.92 = 410.05 : x
  2. Step 2: Convert to fraction form
    614.63/847.92 = 410.05/x
  3. Step 3: Cross multiply
    614.63x = 847.92 × 410.05
  4. Step 4: Simplify right side
    614.63x = 347,685.36
  5. Step 5: Solve for x
    x = 347,685.36/614.63
  6. Step 6: Final answer
    x = 565.68

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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.