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Finding the Fourth Proportional to 564.65, 779.28 and 315.98

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Solution

The fourth proportional to 564.65, 779.28 and 315.98 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 779.28 = 315.98 : x
  2. Step 2: Convert to fraction form
    564.65/779.28 = 315.98/x
  3. Step 3: Cross multiply
    564.65x = 779.28 × 315.98
  4. Step 4: Simplify right side
    564.65x = 246,233.00
  5. Step 5: Solve for x
    x = 246,233.00/564.65
  6. Step 6: Final answer
    x = 436.08

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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.