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Finding the Fourth Proportional to 467.60, 702.10 and 295.34

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Solution

The fourth proportional to 467.60, 702.10 and 295.34 is: 443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 702.10 = 295.34 : x
  2. Step 2: Convert to fraction form
    467.60/702.10 = 295.34/x
  3. Step 3: Cross multiply
    467.60x = 702.10 × 295.34
  4. Step 4: Simplify right side
    467.60x = 207,358.21
  5. Step 5: Solve for x
    x = 207,358.21/467.60
  6. Step 6: Final answer
    x = 443.45

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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.