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Finding the Fourth Proportional to 508.83, 702.19 and 275.96

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Solution

The fourth proportional to 508.83, 702.19 and 275.96 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.83 : 702.19 = 275.96 : x
  2. Step 2: Convert to fraction form
    508.83/702.19 = 275.96/x
  3. Step 3: Cross multiply
    508.83x = 702.19 × 275.96
  4. Step 4: Simplify right side
    508.83x = 193,773.91
  5. Step 5: Solve for x
    x = 193,773.91/508.83
  6. Step 6: Final answer
    x = 380.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.