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Finding the Fourth Proportional to 584.14, 875.50 and 275.39

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Solution

The fourth proportional to 584.14, 875.50 and 275.39 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.14 : 875.50 = 275.39 : x
  2. Step 2: Convert to fraction form
    584.14/875.50 = 275.39/x
  3. Step 3: Cross multiply
    584.14x = 875.50 × 275.39
  4. Step 4: Simplify right side
    584.14x = 241,103.95
  5. Step 5: Solve for x
    x = 241,103.95/584.14
  6. Step 6: Final answer
    x = 412.75

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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.