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Finding the Fourth Proportional to 624.36, 859.50 and 536.52

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Solution

The fourth proportional to 624.36, 859.50 and 536.52 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 859.50 = 536.52 : x
  2. Step 2: Convert to fraction form
    624.36/859.50 = 536.52/x
  3. Step 3: Cross multiply
    624.36x = 859.50 × 536.52
  4. Step 4: Simplify right side
    624.36x = 461,138.94
  5. Step 5: Solve for x
    x = 461,138.94/624.36
  6. Step 6: Final answer
    x = 738.58

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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.