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Finding the Fourth Proportional to 564.16, 778.54 and 343.07

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Solution

The fourth proportional to 564.16, 778.54 and 343.07 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 778.54 = 343.07 : x
  2. Step 2: Convert to fraction form
    564.16/778.54 = 343.07/x
  3. Step 3: Cross multiply
    564.16x = 778.54 × 343.07
  4. Step 4: Simplify right side
    564.16x = 267,088.11
  5. Step 5: Solve for x
    x = 267,088.11/564.16
  6. Step 6: Final answer
    x = 473.43

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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.