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Finding the Fourth Proportional to 622.41, 858.15 and 474.81

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Solution

The fourth proportional to 622.41, 858.15 and 474.81 is: 654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.41 : 858.15 = 474.81 : x
  2. Step 2: Convert to fraction form
    622.41/858.15 = 474.81/x
  3. Step 3: Cross multiply
    622.41x = 858.15 × 474.81
  4. Step 4: Simplify right side
    622.41x = 407,458.20
  5. Step 5: Solve for x
    x = 407,458.20/622.41
  6. Step 6: Final answer
    x = 654.65

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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.