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Finding the Fourth Proportional to 613.78, 846.43 and 473.67

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Solution

The fourth proportional to 613.78, 846.43 and 473.67 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 846.43 = 473.67 : x
  2. Step 2: Convert to fraction form
    613.78/846.43 = 473.67/x
  3. Step 3: Cross multiply
    613.78x = 846.43 × 473.67
  4. Step 4: Simplify right side
    613.78x = 400,926.13
  5. Step 5: Solve for x
    x = 400,926.13/613.78
  6. Step 6: Final answer
    x = 653.21

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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.