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Finding the Fourth Proportional to 564.40, 778.44 and 424.56

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Solution

The fourth proportional to 564.40, 778.44 and 424.56 is: 585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 778.44 = 424.56 : x
  2. Step 2: Convert to fraction form
    564.40/778.44 = 424.56/x
  3. Step 3: Cross multiply
    564.40x = 778.44 × 424.56
  4. Step 4: Simplify right side
    564.40x = 330,494.49
  5. Step 5: Solve for x
    x = 330,494.49/564.40
  6. Step 6: Final answer
    x = 585.57

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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.