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Finding the Fourth Proportional to 564.42, 778.77 and 331.50

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Solution

The fourth proportional to 564.42, 778.77 and 331.50 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.42 : 778.77 = 331.50 : x
  2. Step 2: Convert to fraction form
    564.42/778.77 = 331.50/x
  3. Step 3: Cross multiply
    564.42x = 778.77 × 331.50
  4. Step 4: Simplify right side
    564.42x = 258,162.26
  5. Step 5: Solve for x
    x = 258,162.26/564.42
  6. Step 6: Final answer
    x = 457.39

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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.