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Finding the Fourth Proportional to 586.10, 806.97 and 497.41

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Solution

The fourth proportional to 586.10, 806.97 and 497.41 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 806.97 = 497.41 : x
  2. Step 2: Convert to fraction form
    586.10/806.97 = 497.41/x
  3. Step 3: Cross multiply
    586.10x = 806.97 × 497.41
  4. Step 4: Simplify right side
    586.10x = 401,392.16
  5. Step 5: Solve for x
    x = 401,392.16/586.10
  6. Step 6: Final answer
    x = 684.85

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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.