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Finding the Fourth Proportional to 874.94, 1,312.64 and 327.17

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Solution

The fourth proportional to 874.94, 1,312.64 and 327.17 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,312.64 = 327.17 : x
  2. Step 2: Convert to fraction form
    874.94/1,312.64 = 327.17/x
  3. Step 3: Cross multiply
    874.94x = 1,312.64 × 327.17
  4. Step 4: Simplify right side
    874.94x = 429,461.76
  5. Step 5: Solve for x
    x = 429,461.76/874.94
  6. Step 6: Final answer
    x = 490.85

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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.