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Finding the Fourth Proportional to 365.64, 548.46 and 314.22

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Solution

The fourth proportional to 365.64, 548.46 and 314.22 is: 471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.64 : 548.46 = 314.22 : x
  2. Step 2: Convert to fraction form
    365.64/548.46 = 314.22/x
  3. Step 3: Cross multiply
    365.64x = 548.46 × 314.22
  4. Step 4: Simplify right side
    365.64x = 172,337.10
  5. Step 5: Solve for x
    x = 172,337.10/365.64
  6. Step 6: Final answer
    x = 471.33

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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.