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Finding the Fourth Proportional to 571.76, 857.28 and 398.06

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Solution

The fourth proportional to 571.76, 857.28 and 398.06 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.76 : 857.28 = 398.06 : x
  2. Step 2: Convert to fraction form
    571.76/857.28 = 398.06/x
  3. Step 3: Cross multiply
    571.76x = 857.28 × 398.06
  4. Step 4: Simplify right side
    571.76x = 341,248.88
  5. Step 5: Solve for x
    x = 341,248.88/571.76
  6. Step 6: Final answer
    x = 596.84

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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.