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Finding the Fourth Proportional to 968.68, 1,453.14 and 319.24

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Solution

The fourth proportional to 968.68, 1,453.14 and 319.24 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.68 : 1,453.14 = 319.24 : x
  2. Step 2: Convert to fraction form
    968.68/1,453.14 = 319.24/x
  3. Step 3: Cross multiply
    968.68x = 1,453.14 × 319.24
  4. Step 4: Simplify right side
    968.68x = 463,900.41
  5. Step 5: Solve for x
    x = 463,900.41/968.68
  6. Step 6: Final answer
    x = 478.90

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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.