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Finding the Fourth Proportional to 622.85, 859.50 and 357.24

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Solution

The fourth proportional to 622.85, 859.50 and 357.24 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.85 : 859.50 = 357.24 : x
  2. Step 2: Convert to fraction form
    622.85/859.50 = 357.24/x
  3. Step 3: Cross multiply
    622.85x = 859.50 × 357.24
  4. Step 4: Simplify right side
    622.85x = 307,043.22
  5. Step 5: Solve for x
    x = 307,043.22/622.85
  6. Step 6: Final answer
    x = 492.96

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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.