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Finding the Fourth Proportional to 622.71, 859.34 and 342.93

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Solution

The fourth proportional to 622.71, 859.34 and 342.93 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.71 : 859.34 = 342.93 : x
  2. Step 2: Convert to fraction form
    622.71/859.34 = 342.93/x
  3. Step 3: Cross multiply
    622.71x = 859.34 × 342.93
  4. Step 4: Simplify right side
    622.71x = 294,691.75
  5. Step 5: Solve for x
    x = 294,691.75/622.71
  6. Step 6: Final answer
    x = 473.24

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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.