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Finding the Fourth Proportional to 616.44, 851.16 and 430.14

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Solution

The fourth proportional to 616.44, 851.16 and 430.14 is: 593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 851.16 = 430.14 : x
  2. Step 2: Convert to fraction form
    616.44/851.16 = 430.14/x
  3. Step 3: Cross multiply
    616.44x = 851.16 × 430.14
  4. Step 4: Simplify right side
    616.44x = 366,117.96
  5. Step 5: Solve for x
    x = 366,117.96/616.44
  6. Step 6: Final answer
    x = 593.92

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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.