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Finding the Fourth Proportional to 564.95, 843.36 and 482.33

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Solution

The fourth proportional to 564.95, 843.36 and 482.33 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 843.36 = 482.33 : x
  2. Step 2: Convert to fraction form
    564.95/843.36 = 482.33/x
  3. Step 3: Cross multiply
    564.95x = 843.36 × 482.33
  4. Step 4: Simplify right side
    564.95x = 406,777.83
  5. Step 5: Solve for x
    x = 406,777.83/564.95
  6. Step 6: Final answer
    x = 720.02

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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.