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Finding the Fourth Proportional to 360.77, 540.54 and 343.35

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Solution

The fourth proportional to 360.77, 540.54 and 343.35 is: 514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 540.54 = 343.35 : x
  2. Step 2: Convert to fraction form
    360.77/540.54 = 343.35/x
  3. Step 3: Cross multiply
    360.77x = 540.54 × 343.35
  4. Step 4: Simplify right side
    360.77x = 185,594.41
  5. Step 5: Solve for x
    x = 185,594.41/360.77
  6. Step 6: Final answer
    x = 514.45

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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.