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Finding the Fourth Proportional to 873.50, 1,309.26 and 380.31

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Solution

The fourth proportional to 873.50, 1,309.26 and 380.31 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.50 : 1,309.26 = 380.31 : x
  2. Step 2: Convert to fraction form
    873.50/1,309.26 = 380.31/x
  3. Step 3: Cross multiply
    873.50x = 1,309.26 × 380.31
  4. Step 4: Simplify right side
    873.50x = 497,924.67
  5. Step 5: Solve for x
    x = 497,924.67/873.50
  6. Step 6: Final answer
    x = 570.04

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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.