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Finding the Fourth Proportional to 365.50, 546.24 and 293.02

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Solution

The fourth proportional to 365.50, 546.24 and 293.02 is: 437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 546.24 = 293.02 : x
  2. Step 2: Convert to fraction form
    365.50/546.24 = 293.02/x
  3. Step 3: Cross multiply
    365.50x = 546.24 × 293.02
  4. Step 4: Simplify right side
    365.50x = 160,057.78
  5. Step 5: Solve for x
    x = 160,057.78/365.50
  6. Step 6: Final answer
    x = 437.91

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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.