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Finding the Fourth Proportional to 564.64, 778.71 and 377.93

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Solution

The fourth proportional to 564.64, 778.71 and 377.93 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 778.71 = 377.93 : x
  2. Step 2: Convert to fraction form
    564.64/778.71 = 377.93/x
  3. Step 3: Cross multiply
    564.64x = 778.71 × 377.93
  4. Step 4: Simplify right side
    564.64x = 294,301.23
  5. Step 5: Solve for x
    x = 294,301.23/564.64
  6. Step 6: Final answer
    x = 521.22

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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.