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Finding the Fourth Proportional to 434.60, 651.68 and 249.47

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Solution

The fourth proportional to 434.60, 651.68 and 249.47 is: 374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.60 : 651.68 = 249.47 : x
  2. Step 2: Convert to fraction form
    434.60/651.68 = 249.47/x
  3. Step 3: Cross multiply
    434.60x = 651.68 × 249.47
  4. Step 4: Simplify right side
    434.60x = 162,570.10
  5. Step 5: Solve for x
    x = 162,570.10/434.60
  6. Step 6: Final answer
    x = 374.07

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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.