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Finding the Fourth Proportional to 572.39, 858.37 and 279.80

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Solution

The fourth proportional to 572.39, 858.37 and 279.80 is: 419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.39 : 858.37 = 279.80 : x
  2. Step 2: Convert to fraction form
    572.39/858.37 = 279.80/x
  3. Step 3: Cross multiply
    572.39x = 858.37 × 279.80
  4. Step 4: Simplify right side
    572.39x = 240,171.93
  5. Step 5: Solve for x
    x = 240,171.93/572.39
  6. Step 6: Final answer
    x = 419.59

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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.