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Finding the Fourth Proportional to 616.83, 851.23 and 337.06

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Solution

The fourth proportional to 616.83, 851.23 and 337.06 is: 465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 851.23 = 337.06 : x
  2. Step 2: Convert to fraction form
    616.83/851.23 = 337.06/x
  3. Step 3: Cross multiply
    616.83x = 851.23 × 337.06
  4. Step 4: Simplify right side
    616.83x = 286,916.90
  5. Step 5: Solve for x
    x = 286,916.90/616.83
  6. Step 6: Final answer
    x = 465.15

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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.