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Finding the Fourth Proportional to 564.81, 778.45 and 378

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Solution

The fourth proportional to 564.81, 778.45 and 378 is: 520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 778.45 = 378 : x
  2. Step 2: Convert to fraction form
    564.81/778.45 = 378/x
  3. Step 3: Cross multiply
    564.81x = 778.45 × 378
  4. Step 4: Simplify right side
    564.81x = 294,254.10
  5. Step 5: Solve for x
    x = 294,254.10/564.81
  6. Step 6: Final answer
    x = 520.98

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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.