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Finding the Fourth Proportional to 469.57, 702.61 and 295.42

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Solution

The fourth proportional to 469.57, 702.61 and 295.42 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 702.61 = 295.42 : x
  2. Step 2: Convert to fraction form
    469.57/702.61 = 295.42/x
  3. Step 3: Cross multiply
    469.57x = 702.61 × 295.42
  4. Step 4: Simplify right side
    469.57x = 207,565.05
  5. Step 5: Solve for x
    x = 207,565.05/469.57
  6. Step 6: Final answer
    x = 442.03

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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.