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Finding the Fourth Proportional to 616.24, 849.12 and 594.64

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Solution

The fourth proportional to 616.24, 849.12 and 594.64 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.24 : 849.12 = 594.64 : x
  2. Step 2: Convert to fraction form
    616.24/849.12 = 594.64/x
  3. Step 3: Cross multiply
    616.24x = 849.12 × 594.64
  4. Step 4: Simplify right side
    616.24x = 504,920.72
  5. Step 5: Solve for x
    x = 504,920.72/616.24
  6. Step 6: Final answer
    x = 819.36

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Double scale
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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.