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Finding the Fourth Proportional to 467.16, 648.91 and 459.72

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Solution

The fourth proportional to 467.16, 648.91 and 459.72 is: 638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 648.91 = 459.72 : x
  2. Step 2: Convert to fraction form
    467.16/648.91 = 459.72/x
  3. Step 3: Cross multiply
    467.16x = 648.91 × 459.72
  4. Step 4: Simplify right side
    467.16x = 298,316.91
  5. Step 5: Solve for x
    x = 298,316.91/467.16
  6. Step 6: Final answer
    x = 638.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.