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Finding the Fourth Proportional to 622.97, 934.77 and 258.02

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Solution

The fourth proportional to 622.97, 934.77 and 258.02 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 934.77 = 258.02 : x
  2. Step 2: Convert to fraction form
    622.97/934.77 = 258.02/x
  3. Step 3: Cross multiply
    622.97x = 934.77 × 258.02
  4. Step 4: Simplify right side
    622.97x = 241,189.36
  5. Step 5: Solve for x
    x = 241,189.36/622.97
  6. Step 6: Final answer
    x = 387.16

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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.