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Finding the Fourth Proportional to 873.33, 1,309.25 and 353.31

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Solution

The fourth proportional to 873.33, 1,309.25 and 353.31 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.33 : 1,309.25 = 353.31 : x
  2. Step 2: Convert to fraction form
    873.33/1,309.25 = 353.31/x
  3. Step 3: Cross multiply
    873.33x = 1,309.25 × 353.31
  4. Step 4: Simplify right side
    873.33x = 462,569.35
  5. Step 5: Solve for x
    x = 462,569.35/873.33
  6. Step 6: Final answer
    x = 529.66

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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.