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Finding the Fourth Proportional to 842.23, 1,263.57 and 294.46

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Solution

The fourth proportional to 842.23, 1,263.57 and 294.46 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,263.57 = 294.46 : x
  2. Step 2: Convert to fraction form
    842.23/1,263.57 = 294.46/x
  3. Step 3: Cross multiply
    842.23x = 1,263.57 × 294.46
  4. Step 4: Simplify right side
    842.23x = 372,070.82
  5. Step 5: Solve for x
    x = 372,070.82/842.23
  6. Step 6: Final answer
    x = 441.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.