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Finding the Fourth Proportional to 434.99, 652.49 and 178.31

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Solution

The fourth proportional to 434.99, 652.49 and 178.31 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.99 : 652.49 = 178.31 : x
  2. Step 2: Convert to fraction form
    434.99/652.49 = 178.31/x
  3. Step 3: Cross multiply
    434.99x = 652.49 × 178.31
  4. Step 4: Simplify right side
    434.99x = 116,346.90
  5. Step 5: Solve for x
    x = 116,346.90/434.99
  6. Step 6: Final answer
    x = 267.47

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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.