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Finding the Fourth Proportional to 622.90, 931.57 and 467.11

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Solution

The fourth proportional to 622.90, 931.57 and 467.11 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.90 : 931.57 = 467.11 : x
  2. Step 2: Convert to fraction form
    622.90/931.57 = 467.11/x
  3. Step 3: Cross multiply
    622.90x = 931.57 × 467.11
  4. Step 4: Simplify right side
    622.90x = 435,145.66
  5. Step 5: Solve for x
    x = 435,145.66/622.90
  6. Step 6: Final answer
    x = 698.58

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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.