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Finding the Fourth Proportional to 552.27, 762.10 and 316.20

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Solution

The fourth proportional to 552.27, 762.10 and 316.20 is: 436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 762.10 = 316.20 : x
  2. Step 2: Convert to fraction form
    552.27/762.10 = 316.20/x
  3. Step 3: Cross multiply
    552.27x = 762.10 × 316.20
  4. Step 4: Simplify right side
    552.27x = 240,976.02
  5. Step 5: Solve for x
    x = 240,976.02/552.27
  6. Step 6: Final answer
    x = 436.34

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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.