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Finding the Fourth Proportional to 564.35, 778.83 and 315.71

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Solution

The fourth proportional to 564.35, 778.83 and 315.71 is: 435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.35 : 778.83 = 315.71 : x
  2. Step 2: Convert to fraction form
    564.35/778.83 = 315.71/x
  3. Step 3: Cross multiply
    564.35x = 778.83 × 315.71
  4. Step 4: Simplify right side
    564.35x = 245,884.42
  5. Step 5: Solve for x
    x = 245,884.42/564.35
  6. Step 6: Final answer
    x = 435.69

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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.