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Finding the Fourth Proportional to 508.58, 702.19 and 397.86

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Solution

The fourth proportional to 508.58, 702.19 and 397.86 is: 549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.58 : 702.19 = 397.86 : x
  2. Step 2: Convert to fraction form
    508.58/702.19 = 397.86/x
  3. Step 3: Cross multiply
    508.58x = 702.19 × 397.86
  4. Step 4: Simplify right side
    508.58x = 279,376.25
  5. Step 5: Solve for x
    x = 279,376.25/508.58
  6. Step 6: Final answer
    x = 549.33

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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.