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Finding the Fourth Proportional to 622.60, 931.82 and 468.15

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Solution

The fourth proportional to 622.60, 931.82 and 468.15 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 931.82 = 468.15 : x
  2. Step 2: Convert to fraction form
    622.60/931.82 = 468.15/x
  3. Step 3: Cross multiply
    622.60x = 931.82 × 468.15
  4. Step 4: Simplify right side
    622.60x = 436,231.53
  5. Step 5: Solve for x
    x = 436,231.53/622.60
  6. Step 6: Final answer
    x = 700.66

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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.