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Finding the Fourth Proportional to 460.54, 694.06 and 433.18

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Solution

The fourth proportional to 460.54, 694.06 and 433.18 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.54 : 694.06 = 433.18 : x
  2. Step 2: Convert to fraction form
    460.54/694.06 = 433.18/x
  3. Step 3: Cross multiply
    460.54x = 694.06 × 433.18
  4. Step 4: Simplify right side
    460.54x = 300,652.91
  5. Step 5: Solve for x
    x = 300,652.91/460.54
  6. Step 6: Final answer
    x = 652.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.