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Finding the Fourth Proportional to 610.93, 842.16 and 424.43

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Solution

The fourth proportional to 610.93, 842.16 and 424.43 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.93 : 842.16 = 424.43 : x
  2. Step 2: Convert to fraction form
    610.93/842.16 = 424.43/x
  3. Step 3: Cross multiply
    610.93x = 842.16 × 424.43
  4. Step 4: Simplify right side
    610.93x = 357,437.97
  5. Step 5: Solve for x
    x = 357,437.97/610.93
  6. Step 6: Final answer
    x = 585.07

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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.