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Finding the Fourth Proportional to 468.16, 651.22 and 459.24

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Solution

The fourth proportional to 468.16, 651.22 and 459.24 is: 638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 651.22 = 459.24 : x
  2. Step 2: Convert to fraction form
    468.16/651.22 = 459.24/x
  3. Step 3: Cross multiply
    468.16x = 651.22 × 459.24
  4. Step 4: Simplify right side
    468.16x = 299,066.27
  5. Step 5: Solve for x
    x = 299,066.27/468.16
  6. Step 6: Final answer
    x = 638.81

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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.