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Finding the Fourth Proportional to 564.02, 777.96 and 331.01

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Solution

The fourth proportional to 564.02, 777.96 and 331.01 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 777.96 = 331.01 : x
  2. Step 2: Convert to fraction form
    564.02/777.96 = 331.01/x
  3. Step 3: Cross multiply
    564.02x = 777.96 × 331.01
  4. Step 4: Simplify right side
    564.02x = 257,508.65
  5. Step 5: Solve for x
    x = 257,508.65/564.02
  6. Step 6: Final answer
    x = 456.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.