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Finding the Fourth Proportional to 569.38, 784.89 and 348.18

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Solution

The fourth proportional to 569.38, 784.89 and 348.18 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 784.89 = 348.18 : x
  2. Step 2: Convert to fraction form
    569.38/784.89 = 348.18/x
  3. Step 3: Cross multiply
    569.38x = 784.89 × 348.18
  4. Step 4: Simplify right side
    569.38x = 273,277.33
  5. Step 5: Solve for x
    x = 273,277.33/569.38
  6. Step 6: Final answer
    x = 479.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.