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Finding the Fourth Proportional to 569.76, 785.28 and 422.88

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Solution

The fourth proportional to 569.76, 785.28 and 422.88 is: 582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 785.28 = 422.88 : x
  2. Step 2: Convert to fraction form
    569.76/785.28 = 422.88/x
  3. Step 3: Cross multiply
    569.76x = 785.28 × 422.88
  4. Step 4: Simplify right side
    569.76x = 332,079.21
  5. Step 5: Solve for x
    x = 332,079.21/569.76
  6. Step 6: Final answer
    x = 582.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.