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Finding the Fourth Proportional to 653.81, 979.49 and 393.53

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Solution

The fourth proportional to 653.81, 979.49 and 393.53 is: 589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 979.49 = 393.53 : x
  2. Step 2: Convert to fraction form
    653.81/979.49 = 393.53/x
  3. Step 3: Cross multiply
    653.81x = 979.49 × 393.53
  4. Step 4: Simplify right side
    653.81x = 385,454.79
  5. Step 5: Solve for x
    x = 385,454.79/653.81
  6. Step 6: Final answer
    x = 589.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.