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Finding the Fourth Proportional to 508.54, 702.18 and 397.82

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Solution

The fourth proportional to 508.54, 702.18 and 397.82 is: 549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.54 : 702.18 = 397.82 : x
  2. Step 2: Convert to fraction form
    508.54/702.18 = 397.82/x
  3. Step 3: Cross multiply
    508.54x = 702.18 × 397.82
  4. Step 4: Simplify right side
    508.54x = 279,341.25
  5. Step 5: Solve for x
    x = 279,341.25/508.54
  6. Step 6: Final answer
    x = 549.30

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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.