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Finding the Fourth Proportional to 497.93, 686.95 and 320.85

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Solution

The fourth proportional to 497.93, 686.95 and 320.85 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.93 : 686.95 = 320.85 : x
  2. Step 2: Convert to fraction form
    497.93/686.95 = 320.85/x
  3. Step 3: Cross multiply
    497.93x = 686.95 × 320.85
  4. Step 4: Simplify right side
    497.93x = 220,407.11
  5. Step 5: Solve for x
    x = 220,407.11/497.93
  6. Step 6: Final answer
    x = 442.65

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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.