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Finding the Fourth Proportional to 619.71, 856.76 and 464.19

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Solution

The fourth proportional to 619.71, 856.76 and 464.19 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.71 : 856.76 = 464.19 : x
  2. Step 2: Convert to fraction form
    619.71/856.76 = 464.19/x
  3. Step 3: Cross multiply
    619.71x = 856.76 × 464.19
  4. Step 4: Simplify right side
    619.71x = 397,697.10
  5. Step 5: Solve for x
    x = 397,697.10/619.71
  6. Step 6: Final answer
    x = 641.75

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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.