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Finding the Fourth Proportional to 584, 875.39 and 310.02

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Solution

The fourth proportional to 584, 875.39 and 310.02 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 875.39 = 310.02 : x
  2. Step 2: Convert to fraction form
    584/875.39 = 310.02/x
  3. Step 3: Cross multiply
    584x = 875.39 × 310.02
  4. Step 4: Simplify right side
    584x = 271,388.41
  5. Step 5: Solve for x
    x = 271,388.41/584
  6. Step 6: Final answer
    x = 464.71

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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.