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Finding the Fourth Proportional to 566.53, 844.23 and 547.95

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Solution

The fourth proportional to 566.53, 844.23 and 547.95 is: 816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 844.23 = 547.95 : x
  2. Step 2: Convert to fraction form
    566.53/844.23 = 547.95/x
  3. Step 3: Cross multiply
    566.53x = 844.23 × 547.95
  4. Step 4: Simplify right side
    566.53x = 462,595.83
  5. Step 5: Solve for x
    x = 462,595.83/566.53
  6. Step 6: Final answer
    x = 816.54

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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.