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Finding the Fourth Proportional to 622.80, 933.48 and 417.51

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Solution

The fourth proportional to 622.80, 933.48 and 417.51 is: 625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 933.48 = 417.51 : x
  2. Step 2: Convert to fraction form
    622.80/933.48 = 417.51/x
  3. Step 3: Cross multiply
    622.80x = 933.48 × 417.51
  4. Step 4: Simplify right side
    622.80x = 389,737.23
  5. Step 5: Solve for x
    x = 389,737.23/622.80
  6. Step 6: Final answer
    x = 625.78

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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.