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Finding the Fourth Proportional to 365.01, 546.27 and 284.22

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Solution

The fourth proportional to 365.01, 546.27 and 284.22 is: 425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.01 : 546.27 = 284.22 : x
  2. Step 2: Convert to fraction form
    365.01/546.27 = 284.22/x
  3. Step 3: Cross multiply
    365.01x = 546.27 × 284.22
  4. Step 4: Simplify right side
    365.01x = 155,260.86
  5. Step 5: Solve for x
    x = 155,260.86/365.01
  6. Step 6: Final answer
    x = 425.36

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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.