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Finding the Fourth Proportional to 616.86, 851.43 and 420.48

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Solution

The fourth proportional to 616.86, 851.43 and 420.48 is: 580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 851.43 = 420.48 : x
  2. Step 2: Convert to fraction form
    616.86/851.43 = 420.48/x
  3. Step 3: Cross multiply
    616.86x = 851.43 × 420.48
  4. Step 4: Simplify right side
    616.86x = 358,009.29
  5. Step 5: Solve for x
    x = 358,009.29/616.86
  6. Step 6: Final answer
    x = 580.37

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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.