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Finding the Fourth Proportional to 622.58, 859.19 and 342.81

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Solution

The fourth proportional to 622.58, 859.19 and 342.81 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.58 : 859.19 = 342.81 : x
  2. Step 2: Convert to fraction form
    622.58/859.19 = 342.81/x
  3. Step 3: Cross multiply
    622.58x = 859.19 × 342.81
  4. Step 4: Simplify right side
    622.58x = 294,537.21
  5. Step 5: Solve for x
    x = 294,537.21/622.58
  6. Step 6: Final answer
    x = 473.10

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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.