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Finding the Fourth Proportional to 643.59, 964.88 and 296.67

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Solution

The fourth proportional to 643.59, 964.88 and 296.67 is: 444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.59 : 964.88 = 296.67 : x
  2. Step 2: Convert to fraction form
    643.59/964.88 = 296.67/x
  3. Step 3: Cross multiply
    643.59x = 964.88 × 296.67
  4. Step 4: Simplify right side
    643.59x = 286,249.47
  5. Step 5: Solve for x
    x = 286,249.47/643.59
  6. Step 6: Final answer
    x = 444.77

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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.