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Finding the Fourth Proportional to 468.30, 646.52 and 311.14

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Solution

The fourth proportional to 468.30, 646.52 and 311.14 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.30 : 646.52 = 311.14 : x
  2. Step 2: Convert to fraction form
    468.30/646.52 = 311.14/x
  3. Step 3: Cross multiply
    468.30x = 646.52 × 311.14
  4. Step 4: Simplify right side
    468.30x = 201,158.23
  5. Step 5: Solve for x
    x = 201,158.23/468.30
  6. Step 6: Final answer
    x = 429.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.