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Finding the Fourth Proportional to 438.71, 657.06 and 309.29

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Solution

The fourth proportional to 438.71, 657.06 and 309.29 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.71 : 657.06 = 309.29 : x
  2. Step 2: Convert to fraction form
    438.71/657.06 = 309.29/x
  3. Step 3: Cross multiply
    438.71x = 657.06 × 309.29
  4. Step 4: Simplify right side
    438.71x = 203,218.80
  5. Step 5: Solve for x
    x = 203,218.80/438.71
  6. Step 6: Final answer
    x = 463.22

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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.