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Finding the Fourth Proportional to 470.33, 702.17 and 360.06

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Solution

The fourth proportional to 470.33, 702.17 and 360.06 is: 537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 702.17 = 360.06 : x
  2. Step 2: Convert to fraction form
    470.33/702.17 = 360.06/x
  3. Step 3: Cross multiply
    470.33x = 702.17 × 360.06
  4. Step 4: Simplify right side
    470.33x = 252,821.53
  5. Step 5: Solve for x
    x = 252,821.53/470.33
  6. Step 6: Final answer
    x = 537.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.