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Finding the Fourth Proportional to 460.44, 686.55 and 441.24

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Solution

The fourth proportional to 460.44, 686.55 and 441.24 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 686.55 = 441.24 : x
  2. Step 2: Convert to fraction form
    460.44/686.55 = 441.24/x
  3. Step 3: Cross multiply
    460.44x = 686.55 × 441.24
  4. Step 4: Simplify right side
    460.44x = 302,933.32
  5. Step 5: Solve for x
    x = 302,933.32/460.44
  6. Step 6: Final answer
    x = 657.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.