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Finding the Fourth Proportional to 622.16, 932.16 and 459.08

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Solution

The fourth proportional to 622.16, 932.16 and 459.08 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 932.16 = 459.08 : x
  2. Step 2: Convert to fraction form
    622.16/932.16 = 459.08/x
  3. Step 3: Cross multiply
    622.16x = 932.16 × 459.08
  4. Step 4: Simplify right side
    622.16x = 427,936.01
  5. Step 5: Solve for x
    x = 427,936.01/622.16
  6. Step 6: Final answer
    x = 687.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.