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Finding the Fourth Proportional to 653.13, 979.10 and 282.71

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Solution

The fourth proportional to 653.13, 979.10 and 282.71 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.13 : 979.10 = 282.71 : x
  2. Step 2: Convert to fraction form
    653.13/979.10 = 282.71/x
  3. Step 3: Cross multiply
    653.13x = 979.10 × 282.71
  4. Step 4: Simplify right side
    653.13x = 276,800.14
  5. Step 5: Solve for x
    x = 276,800.14/653.13
  6. Step 6: Final answer
    x = 423.80

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Why These Related Problems?

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