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Finding the Fourth Proportional to 497.06, 686.00 and 297.95

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Solution

The fourth proportional to 497.06, 686.00 and 297.95 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.06 : 686.00 = 297.95 : x
  2. Step 2: Convert to fraction form
    497.06/686.00 = 297.95/x
  3. Step 3: Cross multiply
    497.06x = 686.00 × 297.95
  4. Step 4: Simplify right side
    497.06x = 204,388.78
  5. Step 5: Solve for x
    x = 204,388.78/497.06
  6. Step 6: Final answer
    x = 411.20

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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.