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Finding the Fourth Proportional to 643.12, 964.88 and 278.08

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Solution

The fourth proportional to 643.12, 964.88 and 278.08 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 964.88 = 278.08 : x
  2. Step 2: Convert to fraction form
    643.12/964.88 = 278.08/x
  3. Step 3: Cross multiply
    643.12x = 964.88 × 278.08
  4. Step 4: Simplify right side
    643.12x = 268,313.83
  5. Step 5: Solve for x
    x = 268,313.83/643.12
  6. Step 6: Final answer
    x = 417.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.