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Finding the Fourth Proportional to 564.57, 779.00 and 340.47

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Solution

The fourth proportional to 564.57, 779.00 and 340.47 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 779.00 = 340.47 : x
  2. Step 2: Convert to fraction form
    564.57/779.00 = 340.47/x
  3. Step 3: Cross multiply
    564.57x = 779.00 × 340.47
  4. Step 4: Simplify right side
    564.57x = 265,224.43
  5. Step 5: Solve for x
    x = 265,224.43/564.57
  6. Step 6: Final answer
    x = 469.78

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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.