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Finding the Fourth Proportional to 468.59, 702.73 and 176.23

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Solution

The fourth proportional to 468.59, 702.73 and 176.23 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 702.73 = 176.23 : x
  2. Step 2: Convert to fraction form
    468.59/702.73 = 176.23/x
  3. Step 3: Cross multiply
    468.59x = 702.73 × 176.23
  4. Step 4: Simplify right side
    468.59x = 123,838.26
  5. Step 5: Solve for x
    x = 123,838.26/468.59
  6. Step 6: Final answer
    x = 264.28

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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.