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Finding the Fourth Proportional to 508.85, 702.21 and 275.97

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Solution

The fourth proportional to 508.85, 702.21 and 275.97 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 702.21 = 275.97 : x
  2. Step 2: Convert to fraction form
    508.85/702.21 = 275.97/x
  3. Step 3: Cross multiply
    508.85x = 702.21 × 275.97
  4. Step 4: Simplify right side
    508.85x = 193,787.51
  5. Step 5: Solve for x
    x = 193,787.51/508.85
  6. Step 6: Final answer
    x = 380.84

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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.