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Finding the Fourth Proportional to 572.88, 859.56 and 284.40

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Solution

The fourth proportional to 572.88, 859.56 and 284.40 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.88 : 859.56 = 284.40 : x
  2. Step 2: Convert to fraction form
    572.88/859.56 = 284.40/x
  3. Step 3: Cross multiply
    572.88x = 859.56 × 284.40
  4. Step 4: Simplify right side
    572.88x = 244,458.86
  5. Step 5: Solve for x
    x = 244,458.86/572.88
  6. Step 6: Final answer
    x = 426.72

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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.