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Finding the Fourth Proportional to 348.13, 522.16 and 293.77

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Solution

The fourth proportional to 348.13, 522.16 and 293.77 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.13 : 522.16 = 293.77 : x
  2. Step 2: Convert to fraction form
    348.13/522.16 = 293.77/x
  3. Step 3: Cross multiply
    348.13x = 522.16 × 293.77
  4. Step 4: Simplify right side
    348.13x = 153,394.94
  5. Step 5: Solve for x
    x = 153,394.94/348.13
  6. Step 6: Final answer
    x = 440.63

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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.