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Finding the Fourth Proportional to 613.17, 846.48 and 417.71

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Solution

The fourth proportional to 613.17, 846.48 and 417.71 is: 576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.17 : 846.48 = 417.71 : x
  2. Step 2: Convert to fraction form
    613.17/846.48 = 417.71/x
  3. Step 3: Cross multiply
    613.17x = 846.48 × 417.71
  4. Step 4: Simplify right side
    613.17x = 353,578.56
  5. Step 5: Solve for x
    x = 353,578.56/613.17
  6. Step 6: Final answer
    x = 576.64

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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.