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Finding the Fourth Proportional to 842.58, 1,264.13 and 294.77

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Solution

The fourth proportional to 842.58, 1,264.13 and 294.77 is: 442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.58 : 1,264.13 = 294.77 : x
  2. Step 2: Convert to fraction form
    842.58/1,264.13 = 294.77/x
  3. Step 3: Cross multiply
    842.58x = 1,264.13 × 294.77
  4. Step 4: Simplify right side
    842.58x = 372,619.81
  5. Step 5: Solve for x
    x = 372,619.81/842.58
  6. Step 6: Final answer
    x = 442.24

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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.