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Finding the Fourth Proportional to 622.63, 859.23 and 346.63

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Solution

The fourth proportional to 622.63, 859.23 and 346.63 is: 478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.63 : 859.23 = 346.63 : x
  2. Step 2: Convert to fraction form
    622.63/859.23 = 346.63/x
  3. Step 3: Cross multiply
    622.63x = 859.23 × 346.63
  4. Step 4: Simplify right side
    622.63x = 297,830.60
  5. Step 5: Solve for x
    x = 297,830.60/622.63
  6. Step 6: Final answer
    x = 478.35

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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.