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Finding the Fourth Proportional to 564.75, 779.33 and 316.06

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Solution

The fourth proportional to 564.75, 779.33 and 316.06 is: 436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 779.33 = 316.06 : x
  2. Step 2: Convert to fraction form
    564.75/779.33 = 316.06/x
  3. Step 3: Cross multiply
    564.75x = 779.33 × 316.06
  4. Step 4: Simplify right side
    564.75x = 246,313.88
  5. Step 5: Solve for x
    x = 246,313.88/564.75
  6. Step 6: Final answer
    x = 436.15

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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.