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Finding the Fourth Proportional to 569.66, 854.28 and 387.21

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Solution

The fourth proportional to 569.66, 854.28 and 387.21 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 854.28 = 387.21 : x
  2. Step 2: Convert to fraction form
    569.66/854.28 = 387.21/x
  3. Step 3: Cross multiply
    569.66x = 854.28 × 387.21
  4. Step 4: Simplify right side
    569.66x = 330,785.76
  5. Step 5: Solve for x
    x = 330,785.76/569.66
  6. Step 6: Final answer
    x = 580.68

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