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Finding the Fourth Proportional to 468.42, 646.08 and 447.72

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Solution

The fourth proportional to 468.42, 646.08 and 447.72 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 646.08 = 447.72 : x
  2. Step 2: Convert to fraction form
    468.42/646.08 = 447.72/x
  3. Step 3: Cross multiply
    468.42x = 646.08 × 447.72
  4. Step 4: Simplify right side
    468.42x = 289,262.94
  5. Step 5: Solve for x
    x = 289,262.94/468.42
  6. Step 6: Final answer
    x = 617.53

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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.