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Finding the Fourth Proportional to 623.75, 860.37 and 464.09

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Solution

The fourth proportional to 623.75, 860.37 and 464.09 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.75 : 860.37 = 464.09 : x
  2. Step 2: Convert to fraction form
    623.75/860.37 = 464.09/x
  3. Step 3: Cross multiply
    623.75x = 860.37 × 464.09
  4. Step 4: Simplify right side
    623.75x = 399,284.81
  5. Step 5: Solve for x
    x = 399,284.81/623.75
  6. Step 6: Final answer
    x = 640.14

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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.