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Finding the Fourth Proportional to 365.32, 546.90 and 287.74

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Solution

The fourth proportional to 365.32, 546.90 and 287.74 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.32 : 546.90 = 287.74 : x
  2. Step 2: Convert to fraction form
    365.32/546.90 = 287.74/x
  3. Step 3: Cross multiply
    365.32x = 546.90 × 287.74
  4. Step 4: Simplify right side
    365.32x = 157,365.01
  5. Step 5: Solve for x
    x = 157,365.01/365.32
  6. Step 6: Final answer
    x = 430.76

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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.