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Finding the Fourth Proportional to 508.73, 702.14 and 299.03

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Solution

The fourth proportional to 508.73, 702.14 and 299.03 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.73 : 702.14 = 299.03 : x
  2. Step 2: Convert to fraction form
    508.73/702.14 = 299.03/x
  3. Step 3: Cross multiply
    508.73x = 702.14 × 299.03
  4. Step 4: Simplify right side
    508.73x = 209,955.92
  5. Step 5: Solve for x
    x = 209,955.92/508.73
  6. Step 6: Final answer
    x = 412.71

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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.