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Finding the Fourth Proportional to 571.54, 857.46 and 473.57

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Solution

The fourth proportional to 571.54, 857.46 and 473.57 is: 710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.54 : 857.46 = 473.57 : x
  2. Step 2: Convert to fraction form
    571.54/857.46 = 473.57/x
  3. Step 3: Cross multiply
    571.54x = 857.46 × 473.57
  4. Step 4: Simplify right side
    571.54x = 406,067.33
  5. Step 5: Solve for x
    x = 406,067.33/571.54
  6. Step 6: Final answer
    x = 710.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.