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Finding the Fourth Proportional to 348.40, 519.88 and 302.68

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Solution

The fourth proportional to 348.40, 519.88 and 302.68 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 519.88 = 302.68 : x
  2. Step 2: Convert to fraction form
    348.40/519.88 = 302.68/x
  3. Step 3: Cross multiply
    348.40x = 519.88 × 302.68
  4. Step 4: Simplify right side
    348.40x = 157,357.28
  5. Step 5: Solve for x
    x = 157,357.28/348.40
  6. Step 6: Final answer
    x = 451.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.