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Finding the Fourth Proportional to 682.50, 942.27 and 534.78

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Solution

The fourth proportional to 682.50, 942.27 and 534.78 is: 738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.50 : 942.27 = 534.78 : x
  2. Step 2: Convert to fraction form
    682.50/942.27 = 534.78/x
  3. Step 3: Cross multiply
    682.50x = 942.27 × 534.78
  4. Step 4: Simplify right side
    682.50x = 503,907.15
  5. Step 5: Solve for x
    x = 503,907.15/682.50
  6. Step 6: Final answer
    x = 738.33

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1.5x scale

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.