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Finding the Fourth Proportional to 497.66, 686.27 and 427.95

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Solution

The fourth proportional to 497.66, 686.27 and 427.95 is: 590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 686.27 = 427.95 : x
  2. Step 2: Convert to fraction form
    497.66/686.27 = 427.95/x
  3. Step 3: Cross multiply
    497.66x = 686.27 × 427.95
  4. Step 4: Simplify right side
    497.66x = 293,687.11
  5. Step 5: Solve for x
    x = 293,687.11/497.66
  6. Step 6: Final answer
    x = 590.14

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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.