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Finding the Fourth Proportional to 616.56, 850.40 and 588.96

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Solution

The fourth proportional to 616.56, 850.40 and 588.96 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 850.40 = 588.96 : x
  2. Step 2: Convert to fraction form
    616.56/850.40 = 588.96/x
  3. Step 3: Cross multiply
    616.56x = 850.40 × 588.96
  4. Step 4: Simplify right side
    616.56x = 500,851.58
  5. Step 5: Solve for x
    x = 500,851.58/616.56
  6. Step 6: Final answer
    x = 812.33

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1.5x scale

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.