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Finding the Fourth Proportional to 622.42, 929.11 and 571.06

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Solution

The fourth proportional to 622.42, 929.11 and 571.06 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 929.11 = 571.06 : x
  2. Step 2: Convert to fraction form
    622.42/929.11 = 571.06/x
  3. Step 3: Cross multiply
    622.42x = 929.11 × 571.06
  4. Step 4: Simplify right side
    622.42x = 530,574.70
  5. Step 5: Solve for x
    x = 530,574.70/622.42
  6. Step 6: Final answer
    x = 852.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.