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Finding the Fourth Proportional to 601.66, 829.33 and 497.17

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Solution

The fourth proportional to 601.66, 829.33 and 497.17 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.66 : 829.33 = 497.17 : x
  2. Step 2: Convert to fraction form
    601.66/829.33 = 497.17/x
  3. Step 3: Cross multiply
    601.66x = 829.33 × 497.17
  4. Step 4: Simplify right side
    601.66x = 412,318.00
  5. Step 5: Solve for x
    x = 412,318.00/601.66
  6. Step 6: Final answer
    x = 685.30

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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.