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Finding the Fourth Proportional to 584.06, 875.48 and 255.18

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Solution

The fourth proportional to 584.06, 875.48 and 255.18 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 875.48 = 255.18 : x
  2. Step 2: Convert to fraction form
    584.06/875.48 = 255.18/x
  3. Step 3: Cross multiply
    584.06x = 875.48 × 255.18
  4. Step 4: Simplify right side
    584.06x = 223,404.99
  5. Step 5: Solve for x
    x = 223,404.99/584.06
  6. Step 6: Final answer
    x = 382.50

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Why These Related Problems?

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