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Finding the Fourth Proportional to 622.41, 858.67 and 464.77

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Solution

The fourth proportional to 622.41, 858.67 and 464.77 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.41 : 858.67 = 464.77 : x
  2. Step 2: Convert to fraction form
    622.41/858.67 = 464.77/x
  3. Step 3: Cross multiply
    622.41x = 858.67 × 464.77
  4. Step 4: Simplify right side
    622.41x = 399,084.06
  5. Step 5: Solve for x
    x = 399,084.06/622.41
  6. Step 6: Final answer
    x = 641.19

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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.