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Finding the Fourth Proportional to 366.48, 546.34 and 349.20

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Solution

The fourth proportional to 366.48, 546.34 and 349.20 is: 520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 546.34 = 349.20 : x
  2. Step 2: Convert to fraction form
    366.48/546.34 = 349.20/x
  3. Step 3: Cross multiply
    366.48x = 546.34 × 349.20
  4. Step 4: Simplify right side
    366.48x = 190,781.93
  5. Step 5: Solve for x
    x = 190,781.93/366.48
  6. Step 6: Final answer
    x = 520.58

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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.