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Finding the Fourth Proportional to 873.51, 1,309.74 and 353.09

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Solution

The fourth proportional to 873.51, 1,309.74 and 353.09 is: 529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.51 : 1,309.74 = 353.09 : x
  2. Step 2: Convert to fraction form
    873.51/1,309.74 = 353.09/x
  3. Step 3: Cross multiply
    873.51x = 1,309.74 × 353.09
  4. Step 4: Simplify right side
    873.51x = 462,449.55
  5. Step 5: Solve for x
    x = 462,449.55/873.51
  6. Step 6: Final answer
    x = 529.42

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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.