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Finding the Fourth Proportional to 564.45, 778.93 and 315.77

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Solution

The fourth proportional to 564.45, 778.93 and 315.77 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 778.93 = 315.77 : x
  2. Step 2: Convert to fraction form
    564.45/778.93 = 315.77/x
  3. Step 3: Cross multiply
    564.45x = 778.93 × 315.77
  4. Step 4: Simplify right side
    564.45x = 245,962.73
  5. Step 5: Solve for x
    x = 245,962.73/564.45
  6. Step 6: Final answer
    x = 435.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.