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Finding the Fourth Proportional to 468.28, 702.07 and 295.04

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Solution

The fourth proportional to 468.28, 702.07 and 295.04 is: 442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 702.07 = 295.04 : x
  2. Step 2: Convert to fraction form
    468.28/702.07 = 295.04/x
  3. Step 3: Cross multiply
    468.28x = 702.07 × 295.04
  4. Step 4: Simplify right side
    468.28x = 207,139.75
  5. Step 5: Solve for x
    x = 207,139.75/468.28
  6. Step 6: Final answer
    x = 442.34

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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.