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Finding the Fourth Proportional to 584.12, 875.50 and 276.06

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Solution

The fourth proportional to 584.12, 875.50 and 276.06 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 875.50 = 276.06 : x
  2. Step 2: Convert to fraction form
    584.12/875.50 = 276.06/x
  3. Step 3: Cross multiply
    584.12x = 875.50 × 276.06
  4. Step 4: Simplify right side
    584.12x = 241,690.53
  5. Step 5: Solve for x
    x = 241,690.53/584.12
  6. Step 6: Final answer
    x = 413.77

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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.