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Finding the Fourth Proportional to 469.07, 702.85 and 249.69

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Solution

The fourth proportional to 469.07, 702.85 and 249.69 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.07 : 702.85 = 249.69 : x
  2. Step 2: Convert to fraction form
    469.07/702.85 = 249.69/x
  3. Step 3: Cross multiply
    469.07x = 702.85 × 249.69
  4. Step 4: Simplify right side
    469.07x = 175,494.62
  5. Step 5: Solve for x
    x = 175,494.62/469.07
  6. Step 6: Final answer
    x = 374.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.