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Finding the Fourth Proportional to 497.06, 686.08 and 310.70

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Solution

The fourth proportional to 497.06, 686.08 and 310.70 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 686.08 = 310.70 : x
  2. Step 2: Convert to fraction form
    497.06/686.08 = 310.70/x
  3. Step 3: Cross multiply
    497.06x = 686.08 × 310.70
  4. Step 4: Simplify right side
    497.06x = 213,165.06
  5. Step 5: Solve for x
    x = 213,165.06/497.06
  6. Step 6: Final answer
    x = 428.85

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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.