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Finding the Fourth Proportional to 616.33, 848.17 and 596.28

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Solution

The fourth proportional to 616.33, 848.17 and 596.28 is: 820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.33 : 848.17 = 596.28 : x
  2. Step 2: Convert to fraction form
    616.33/848.17 = 596.28/x
  3. Step 3: Cross multiply
    616.33x = 848.17 × 596.28
  4. Step 4: Simplify right side
    616.33x = 505,746.81
  5. Step 5: Solve for x
    x = 505,746.81/616.33
  6. Step 6: Final answer
    x = 820.58

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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.