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Finding the Fourth Proportional to 365.16, 544.27 and 362.32

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Solution

The fourth proportional to 365.16, 544.27 and 362.32 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.16 : 544.27 = 362.32 : x
  2. Step 2: Convert to fraction form
    365.16/544.27 = 362.32/x
  3. Step 3: Cross multiply
    365.16x = 544.27 × 362.32
  4. Step 4: Simplify right side
    365.16x = 197,199.91
  5. Step 5: Solve for x
    x = 197,199.91/365.16
  6. Step 6: Final answer
    x = 540.04

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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.