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Finding the Fourth Proportional to 468.53, 646.61 and 298.27

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Solution

The fourth proportional to 468.53, 646.61 and 298.27 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.53 : 646.61 = 298.27 : x
  2. Step 2: Convert to fraction form
    468.53/646.61 = 298.27/x
  3. Step 3: Cross multiply
    468.53x = 646.61 × 298.27
  4. Step 4: Simplify right side
    468.53x = 192,864.36
  5. Step 5: Solve for x
    x = 192,864.36/468.53
  6. Step 6: Final answer
    x = 411.64

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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.