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Finding the Fourth Proportional to 508.78, 702.10 and 298.96

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Solution

The fourth proportional to 508.78, 702.10 and 298.96 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 702.10 = 298.96 : x
  2. Step 2: Convert to fraction form
    508.78/702.10 = 298.96/x
  3. Step 3: Cross multiply
    508.78x = 702.10 × 298.96
  4. Step 4: Simplify right side
    508.78x = 209,899.82
  5. Step 5: Solve for x
    x = 209,899.82/508.78
  6. Step 6: Final answer
    x = 412.56

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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.