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Finding the Fourth Proportional to 616.92, 851.87 and 421.00

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Solution

The fourth proportional to 616.92, 851.87 and 421.00 is: 581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 851.87 = 421.00 : x
  2. Step 2: Convert to fraction form
    616.92/851.87 = 421.00/x
  3. Step 3: Cross multiply
    616.92x = 851.87 × 421.00
  4. Step 4: Simplify right side
    616.92x = 358,633.82
  5. Step 5: Solve for x
    x = 358,633.82/616.92
  6. Step 6: Final answer
    x = 581.33

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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.