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Finding the Fourth Proportional to 622.90, 934.55 and 314.49

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Solution

The fourth proportional to 622.90, 934.55 and 314.49 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.90 : 934.55 = 314.49 : x
  2. Step 2: Convert to fraction form
    622.90/934.55 = 314.49/x
  3. Step 3: Cross multiply
    622.90x = 934.55 × 314.49
  4. Step 4: Simplify right side
    622.90x = 293,905.06
  5. Step 5: Solve for x
    x = 293,905.06/622.90
  6. Step 6: Final answer
    x = 471.84

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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.