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Finding the Fourth Proportional to 633.14, 948.81 and 358.66

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Solution

The fourth proportional to 633.14, 948.81 and 358.66 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.14 : 948.81 = 358.66 : x
  2. Step 2: Convert to fraction form
    633.14/948.81 = 358.66/x
  3. Step 3: Cross multiply
    633.14x = 948.81 × 358.66
  4. Step 4: Simplify right side
    633.14x = 340,300.19
  5. Step 5: Solve for x
    x = 340,300.19/633.14
  6. Step 6: Final answer
    x = 537.48

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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.