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Finding the Fourth Proportional to 364.24, 546.36 and 282.85

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Solution

The fourth proportional to 364.24, 546.36 and 282.85 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 546.36 = 282.85 : x
  2. Step 2: Convert to fraction form
    364.24/546.36 = 282.85/x
  3. Step 3: Cross multiply
    364.24x = 546.36 × 282.85
  4. Step 4: Simplify right side
    364.24x = 154,537.93
  5. Step 5: Solve for x
    x = 154,537.93/364.24
  6. Step 6: Final answer
    x = 424.28

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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.