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Finding the Fourth Proportional to 431.81, 648.40 and 349.87

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Solution

The fourth proportional to 431.81, 648.40 and 349.87 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 648.40 = 349.87 : x
  2. Step 2: Convert to fraction form
    431.81/648.40 = 349.87/x
  3. Step 3: Cross multiply
    431.81x = 648.40 × 349.87
  4. Step 4: Simplify right side
    431.81x = 226,855.71
  5. Step 5: Solve for x
    x = 226,855.71/431.81
  6. Step 6: Final answer
    x = 525.36

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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.