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Finding the Fourth Proportional to 348.54, 479.61 and 301.69

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Solution

The fourth proportional to 348.54, 479.61 and 301.69 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 479.61 = 301.69 : x
  2. Step 2: Convert to fraction form
    348.54/479.61 = 301.69/x
  3. Step 3: Cross multiply
    348.54x = 479.61 × 301.69
  4. Step 4: Simplify right side
    348.54x = 144,693.54
  5. Step 5: Solve for x
    x = 144,693.54/348.54
  6. Step 6: Final answer
    x = 415.14

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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.