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Finding the Fourth Proportional to 613.71, 846.34 and 473.60

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Solution

The fourth proportional to 613.71, 846.34 and 473.60 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 846.34 = 473.60 : x
  2. Step 2: Convert to fraction form
    613.71/846.34 = 473.60/x
  3. Step 3: Cross multiply
    613.71x = 846.34 × 473.60
  4. Step 4: Simplify right side
    613.71x = 400,827.56
  5. Step 5: Solve for x
    x = 400,827.56/613.71
  6. Step 6: Final answer
    x = 653.12

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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.