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Finding the Fourth Proportional to 875.39, 1,313.10 and 327.46

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Solution

The fourth proportional to 875.39, 1,313.10 and 327.46 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.39 : 1,313.10 = 327.46 : x
  2. Step 2: Convert to fraction form
    875.39/1,313.10 = 327.46/x
  3. Step 3: Cross multiply
    875.39x = 1,313.10 × 327.46
  4. Step 4: Simplify right side
    875.39x = 429,993.06
  5. Step 5: Solve for x
    x = 429,993.06/875.39
  6. Step 6: Final answer
    x = 491.20

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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.