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Finding the Fourth Proportional to 613.52, 846.99 and 473.33

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Solution

The fourth proportional to 613.52, 846.99 and 473.33 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 846.99 = 473.33 : x
  2. Step 2: Convert to fraction form
    613.52/846.99 = 473.33/x
  3. Step 3: Cross multiply
    613.52x = 846.99 × 473.33
  4. Step 4: Simplify right side
    613.52x = 400,905.78
  5. Step 5: Solve for x
    x = 400,905.78/613.52
  6. Step 6: Final answer
    x = 653.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.