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Finding the Fourth Proportional to 622.80, 933.84 and 257.28

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Solution

The fourth proportional to 622.80, 933.84 and 257.28 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 933.84 = 257.28 : x
  2. Step 2: Convert to fraction form
    622.80/933.84 = 257.28/x
  3. Step 3: Cross multiply
    622.80x = 933.84 × 257.28
  4. Step 4: Simplify right side
    622.80x = 240,258.36
  5. Step 5: Solve for x
    x = 240,258.36/622.80
  6. Step 6: Final answer
    x = 385.77

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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.