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Finding the Fourth Proportional to 875.27, 1,312.10 and 327.81

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Solution

The fourth proportional to 875.27, 1,312.10 and 327.81 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.27 : 1,312.10 = 327.81 : x
  2. Step 2: Convert to fraction form
    875.27/1,312.10 = 327.81/x
  3. Step 3: Cross multiply
    875.27x = 1,312.10 × 327.81
  4. Step 4: Simplify right side
    875.27x = 430,124.01
  5. Step 5: Solve for x
    x = 430,124.01/875.27
  6. Step 6: Final answer
    x = 491.42

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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.