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Finding the Fourth Proportional to 566.46, 851.72 and 547.02

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Solution

The fourth proportional to 566.46, 851.72 and 547.02 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 851.72 = 547.02 : x
  2. Step 2: Convert to fraction form
    566.46/851.72 = 547.02/x
  3. Step 3: Cross multiply
    566.46x = 851.72 × 547.02
  4. Step 4: Simplify right side
    566.46x = 465,905.14
  5. Step 5: Solve for x
    x = 465,905.14/566.46
  6. Step 6: Final answer
    x = 822.49

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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.