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Finding the Fourth Proportional to 582.39, 874.19 and 257.99

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Solution

The fourth proportional to 582.39, 874.19 and 257.99 is: 387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 874.19 = 257.99 : x
  2. Step 2: Convert to fraction form
    582.39/874.19 = 257.99/x
  3. Step 3: Cross multiply
    582.39x = 874.19 × 257.99
  4. Step 4: Simplify right side
    582.39x = 225,528.55
  5. Step 5: Solve for x
    x = 225,528.55/582.39
  6. Step 6: Final answer
    x = 387.25

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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.