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Finding the Fourth Proportional to 661.80, 913.65 and 460.20

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Solution

The fourth proportional to 661.80, 913.65 and 460.20 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.80 : 913.65 = 460.20 : x
  2. Step 2: Convert to fraction form
    661.80/913.65 = 460.20/x
  3. Step 3: Cross multiply
    661.80x = 913.65 × 460.20
  4. Step 4: Simplify right side
    661.80x = 420,461.73
  5. Step 5: Solve for x
    x = 420,461.73/661.80
  6. Step 6: Final answer
    x = 635.33

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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.