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Finding the Fourth Proportional to 624.01, 860.74 and 464.35

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Solution

The fourth proportional to 624.01, 860.74 and 464.35 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.01 : 860.74 = 464.35 : x
  2. Step 2: Convert to fraction form
    624.01/860.74 = 464.35/x
  3. Step 3: Cross multiply
    624.01x = 860.74 × 464.35
  4. Step 4: Simplify right side
    624.01x = 399,684.62
  5. Step 5: Solve for x
    x = 399,684.62/624.01
  6. Step 6: Final answer
    x = 640.51

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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.