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Finding the Fourth Proportional to 633.91, 951.27 and 309.10

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Solution

The fourth proportional to 633.91, 951.27 and 309.10 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.91 : 951.27 = 309.10 : x
  2. Step 2: Convert to fraction form
    633.91/951.27 = 309.10/x
  3. Step 3: Cross multiply
    633.91x = 951.27 × 309.10
  4. Step 4: Simplify right side
    633.91x = 294,031.26
  5. Step 5: Solve for x
    x = 294,031.26/633.91
  6. Step 6: Final answer
    x = 463.84

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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.