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Finding the Fourth Proportional to 521.97, 720.16 and 325.34

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Solution

The fourth proportional to 521.97, 720.16 and 325.34 is: 448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 720.16 = 325.34 : x
  2. Step 2: Convert to fraction form
    521.97/720.16 = 325.34/x
  3. Step 3: Cross multiply
    521.97x = 720.16 × 325.34
  4. Step 4: Simplify right side
    521.97x = 234,296.85
  5. Step 5: Solve for x
    x = 234,296.85/521.97
  6. Step 6: Final answer
    x = 448.87

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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.