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Finding the Fourth Proportional to 508.92, 702.12 and 299.10

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Solution

The fourth proportional to 508.92, 702.12 and 299.10 is: 412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 702.12 = 299.10 : x
  2. Step 2: Convert to fraction form
    508.92/702.12 = 299.10/x
  3. Step 3: Cross multiply
    508.92x = 702.12 × 299.10
  4. Step 4: Simplify right side
    508.92x = 210,004.09
  5. Step 5: Solve for x
    x = 210,004.09/508.92
  6. Step 6: Final answer
    x = 412.65

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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.