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Finding the Fourth Proportional to 409.61, 614.42 and 291.98

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Solution

The fourth proportional to 409.61, 614.42 and 291.98 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.61 : 614.42 = 291.98 : x
  2. Step 2: Convert to fraction form
    409.61/614.42 = 291.98/x
  3. Step 3: Cross multiply
    409.61x = 614.42 × 291.98
  4. Step 4: Simplify right side
    409.61x = 179,398.35
  5. Step 5: Solve for x
    x = 179,398.35/409.61
  6. Step 6: Final answer
    x = 437.97

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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.