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Finding the Fourth Proportional to 564.05, 778.64 and 377.66

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Solution

The fourth proportional to 564.05, 778.64 and 377.66 is: 521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 778.64 = 377.66 : x
  2. Step 2: Convert to fraction form
    564.05/778.64 = 377.66/x
  3. Step 3: Cross multiply
    564.05x = 778.64 × 377.66
  4. Step 4: Simplify right side
    564.05x = 294,064.07
  5. Step 5: Solve for x
    x = 294,064.07/564.05
  6. Step 6: Final answer
    x = 521.35

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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.