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Finding the Fourth Proportional to 365.12, 546.71 and 288.23

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Solution

The fourth proportional to 365.12, 546.71 and 288.23 is: 431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.12 : 546.71 = 288.23 : x
  2. Step 2: Convert to fraction form
    365.12/546.71 = 288.23/x
  3. Step 3: Cross multiply
    365.12x = 546.71 × 288.23
  4. Step 4: Simplify right side
    365.12x = 157,576.78
  5. Step 5: Solve for x
    x = 157,576.78/365.12
  6. Step 6: Final answer
    x = 431.58

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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.