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Finding the Fourth Proportional to 491.32, 678.14 and 294.69

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Solution

The fourth proportional to 491.32, 678.14 and 294.69 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 678.14 = 294.69 : x
  2. Step 2: Convert to fraction form
    491.32/678.14 = 294.69/x
  3. Step 3: Cross multiply
    491.32x = 678.14 × 294.69
  4. Step 4: Simplify right side
    491.32x = 199,841.08
  5. Step 5: Solve for x
    x = 199,841.08/491.32
  6. Step 6: Final answer
    x = 406.74

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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.