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Finding the Fourth Proportional to 633.04, 949.15 and 286.01

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Solution

The fourth proportional to 633.04, 949.15 and 286.01 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.04 : 949.15 = 286.01 : x
  2. Step 2: Convert to fraction form
    633.04/949.15 = 286.01/x
  3. Step 3: Cross multiply
    633.04x = 949.15 × 286.01
  4. Step 4: Simplify right side
    633.04x = 271,460.22
  5. Step 5: Solve for x
    x = 271,460.22/633.04
  6. Step 6: Final answer
    x = 428.82

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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.