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Finding the Fourth Proportional to 653.47, 979.48 and 310.75

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Solution

The fourth proportional to 653.47, 979.48 and 310.75 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 979.48 = 310.75 : x
  2. Step 2: Convert to fraction form
    653.47/979.48 = 310.75/x
  3. Step 3: Cross multiply
    653.47x = 979.48 × 310.75
  4. Step 4: Simplify right side
    653.47x = 304,373.41
  5. Step 5: Solve for x
    x = 304,373.41/653.47
  6. Step 6: Final answer
    x = 465.78

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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.