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Finding the Fourth Proportional to 468.68, 646.02 and 454.92

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Solution

The fourth proportional to 468.68, 646.02 and 454.92 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 646.02 = 454.92 : x
  2. Step 2: Convert to fraction form
    468.68/646.02 = 454.92/x
  3. Step 3: Cross multiply
    468.68x = 646.02 × 454.92
  4. Step 4: Simplify right side
    468.68x = 293,887.42
  5. Step 5: Solve for x
    x = 293,887.42/468.68
  6. Step 6: Final answer
    x = 627.05

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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.