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Finding the Fourth Proportional to 564.05, 778.49 and 340.02

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Solution

The fourth proportional to 564.05, 778.49 and 340.02 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 778.49 = 340.02 : x
  2. Step 2: Convert to fraction form
    564.05/778.49 = 340.02/x
  3. Step 3: Cross multiply
    564.05x = 778.49 × 340.02
  4. Step 4: Simplify right side
    564.05x = 264,700.47
  5. Step 5: Solve for x
    x = 264,700.47/564.05
  6. Step 6: Final answer
    x = 469.29

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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.