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Finding the Fourth Proportional to 874.59, 1,312.28 and 441.24

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Solution

The fourth proportional to 874.59, 1,312.28 and 441.24 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.59 : 1,312.28 = 441.24 : x
  2. Step 2: Convert to fraction form
    874.59/1,312.28 = 441.24/x
  3. Step 3: Cross multiply
    874.59x = 1,312.28 × 441.24
  4. Step 4: Simplify right side
    874.59x = 579,030.43
  5. Step 5: Solve for x
    x = 579,030.43/874.59
  6. Step 6: Final answer
    x = 662.06

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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.