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Finding the Fourth Proportional to 622.92, 933.42 and 459.84

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Solution

The fourth proportional to 622.92, 933.42 and 459.84 is: 689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 933.42 = 459.84 : x
  2. Step 2: Convert to fraction form
    622.92/933.42 = 459.84/x
  3. Step 3: Cross multiply
    622.92x = 933.42 × 459.84
  4. Step 4: Simplify right side
    622.92x = 429,223.85
  5. Step 5: Solve for x
    x = 429,223.85/622.92
  6. Step 6: Final answer
    x = 689.05

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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.