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Finding the Fourth Proportional to 875.87, 1,314.30 and 328.10

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Solution

The fourth proportional to 875.87, 1,314.30 and 328.10 is: 492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,314.30 = 328.10 : x
  2. Step 2: Convert to fraction form
    875.87/1,314.30 = 328.10/x
  3. Step 3: Cross multiply
    875.87x = 1,314.30 × 328.10
  4. Step 4: Simplify right side
    875.87x = 431,221.83
  5. Step 5: Solve for x
    x = 431,221.83/875.87
  6. Step 6: Final answer
    x = 492.34

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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.