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Finding the Fourth Proportional to 622.12, 858.30 and 467.08

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Solution

The fourth proportional to 622.12, 858.30 and 467.08 is: 644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.12 : 858.30 = 467.08 : x
  2. Step 2: Convert to fraction form
    622.12/858.30 = 467.08/x
  3. Step 3: Cross multiply
    622.12x = 858.30 × 467.08
  4. Step 4: Simplify right side
    622.12x = 400,894.76
  5. Step 5: Solve for x
    x = 400,894.76/622.12
  6. Step 6: Final answer
    x = 644.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.