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Finding the Fourth Proportional to 571.44, 857.12 and 282.88

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Solution

The fourth proportional to 571.44, 857.12 and 282.88 is: 424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 857.12 = 282.88 : x
  2. Step 2: Convert to fraction form
    571.44/857.12 = 282.88/x
  3. Step 3: Cross multiply
    571.44x = 857.12 × 282.88
  4. Step 4: Simplify right side
    571.44x = 242,462.11
  5. Step 5: Solve for x
    x = 242,462.11/571.44
  6. Step 6: Final answer
    x = 424.30

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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.