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Finding the Fourth Proportional to 684.33, 1,026.36 and 319.02

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Solution

The fourth proportional to 684.33, 1,026.36 and 319.02 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.33 : 1,026.36 = 319.02 : x
  2. Step 2: Convert to fraction form
    684.33/1,026.36 = 319.02/x
  3. Step 3: Cross multiply
    684.33x = 1,026.36 × 319.02
  4. Step 4: Simplify right side
    684.33x = 327,429.37
  5. Step 5: Solve for x
    x = 327,429.37/684.33
  6. Step 6: Final answer
    x = 478.47

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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.