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Finding the Fourth Proportional to 584.12, 875.12 and 309.58

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Solution

The fourth proportional to 584.12, 875.12 and 309.58 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.12 : 875.12 = 309.58 : x
  2. Step 2: Convert to fraction form
    584.12/875.12 = 309.58/x
  3. Step 3: Cross multiply
    584.12x = 875.12 × 309.58
  4. Step 4: Simplify right side
    584.12x = 270,919.65
  5. Step 5: Solve for x
    x = 270,919.65/584.12
  6. Step 6: Final answer
    x = 463.81

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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.