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Finding the Fourth Proportional to 622.60, 933.22 and 313.84

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Solution

The fourth proportional to 622.60, 933.22 and 313.84 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 933.22 = 313.84 : x
  2. Step 2: Convert to fraction form
    622.60/933.22 = 313.84/x
  3. Step 3: Cross multiply
    622.60x = 933.22 × 313.84
  4. Step 4: Simplify right side
    622.60x = 292,881.76
  5. Step 5: Solve for x
    x = 292,881.76/622.60
  6. Step 6: Final answer
    x = 470.42

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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.