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Finding the Fourth Proportional to 616.06, 848.22 and 522.61

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Solution

The fourth proportional to 616.06, 848.22 and 522.61 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.06 : 848.22 = 522.61 : x
  2. Step 2: Convert to fraction form
    616.06/848.22 = 522.61/x
  3. Step 3: Cross multiply
    616.06x = 848.22 × 522.61
  4. Step 4: Simplify right side
    616.06x = 443,288.25
  5. Step 5: Solve for x
    x = 443,288.25/616.06
  6. Step 6: Final answer
    x = 719.55

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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.