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Finding the Fourth Proportional to 584.28, 875.41 and 310.50

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Solution

The fourth proportional to 584.28, 875.41 and 310.50 is: 465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 875.41 = 310.50 : x
  2. Step 2: Convert to fraction form
    584.28/875.41 = 310.50/x
  3. Step 3: Cross multiply
    584.28x = 875.41 × 310.50
  4. Step 4: Simplify right side
    584.28x = 271,814.03
  5. Step 5: Solve for x
    x = 271,814.03/584.28
  6. Step 6: Final answer
    x = 465.21

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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.