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Finding the Fourth Proportional to 566.28, 842.31 and 546.30

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Solution

The fourth proportional to 566.28, 842.31 and 546.30 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 842.31 = 546.30 : x
  2. Step 2: Convert to fraction form
    566.28/842.31 = 546.30/x
  3. Step 3: Cross multiply
    566.28x = 842.31 × 546.30
  4. Step 4: Simplify right side
    566.28x = 460,153.95
  5. Step 5: Solve for x
    x = 460,153.95/566.28
  6. Step 6: Final answer
    x = 812.59

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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.