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Finding the Fourth Proportional to 672.23, 927.64 and 410.20

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Solution

The fourth proportional to 672.23, 927.64 and 410.20 is: 566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.23 : 927.64 = 410.20 : x
  2. Step 2: Convert to fraction form
    672.23/927.64 = 410.20/x
  3. Step 3: Cross multiply
    672.23x = 927.64 × 410.20
  4. Step 4: Simplify right side
    672.23x = 380,517.93
  5. Step 5: Solve for x
    x = 380,517.93/672.23
  6. Step 6: Final answer
    x = 566.05

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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.