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Finding the Fourth Proportional to 672.52, 927.78 and 410.44

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Solution

The fourth proportional to 672.52, 927.78 and 410.44 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.52 : 927.78 = 410.44 : x
  2. Step 2: Convert to fraction form
    672.52/927.78 = 410.44/x
  3. Step 3: Cross multiply
    672.52x = 927.78 × 410.44
  4. Step 4: Simplify right side
    672.52x = 380,798.02
  5. Step 5: Solve for x
    x = 380,798.02/672.52
  6. Step 6: Final answer
    x = 566.23

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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.