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Finding the Fourth Proportional to 564.83, 779.50 and 316.14

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Solution

The fourth proportional to 564.83, 779.50 and 316.14 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 779.50 = 316.14 : x
  2. Step 2: Convert to fraction form
    564.83/779.50 = 316.14/x
  3. Step 3: Cross multiply
    564.83x = 779.50 × 316.14
  4. Step 4: Simplify right side
    564.83x = 246,425.65
  5. Step 5: Solve for x
    x = 246,425.65/564.83
  6. Step 6: Final answer
    x = 436.29

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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.