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Finding the Fourth Proportional to 722.16, 997.20 and 460.08

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Solution

The fourth proportional to 722.16, 997.20 and 460.08 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 997.20 = 460.08 : x
  2. Step 2: Convert to fraction form
    722.16/997.20 = 460.08/x
  3. Step 3: Cross multiply
    722.16x = 997.20 × 460.08
  4. Step 4: Simplify right side
    722.16x = 458,791.78
  5. Step 5: Solve for x
    x = 458,791.78/722.16
  6. Step 6: Final answer
    x = 635.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.