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Finding the Fourth Proportional to 968.16, 1,452.54 and 319.08

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Solution

The fourth proportional to 968.16, 1,452.54 and 319.08 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,452.54 = 319.08 : x
  2. Step 2: Convert to fraction form
    968.16/1,452.54 = 319.08/x
  3. Step 3: Cross multiply
    968.16x = 1,452.54 × 319.08
  4. Step 4: Simplify right side
    968.16x = 463,476.46
  5. Step 5: Solve for x
    x = 463,476.46/968.16
  6. Step 6: Final answer
    x = 478.72

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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.