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Finding the Fourth Proportional to 968.49, 1,452.96 and 319.28

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Solution

The fourth proportional to 968.49, 1,452.96 and 319.28 is: 478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.49 : 1,452.96 = 319.28 : x
  2. Step 2: Convert to fraction form
    968.49/1,452.96 = 319.28/x
  3. Step 3: Cross multiply
    968.49x = 1,452.96 × 319.28
  4. Step 4: Simplify right side
    968.49x = 463,893.80
  5. Step 5: Solve for x
    x = 463,893.80/968.49
  6. Step 6: Final answer
    x = 478.99

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Double scale
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1.5x scale

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.