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Finding the Fourth Proportional to 434.24, 652.05 and 412.31

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Solution

The fourth proportional to 434.24, 652.05 and 412.31 is: 619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.24 : 652.05 = 412.31 : x
  2. Step 2: Convert to fraction form
    434.24/652.05 = 412.31/x
  3. Step 3: Cross multiply
    434.24x = 652.05 × 412.31
  4. Step 4: Simplify right side
    434.24x = 268,843.48
  5. Step 5: Solve for x
    x = 268,843.48/434.24
  6. Step 6: Final answer
    x = 619.12

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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.