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Finding the Fourth Proportional to 491.69, 678.63 and 292.57

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Solution

The fourth proportional to 491.69, 678.63 and 292.57 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.69 : 678.63 = 292.57 : x
  2. Step 2: Convert to fraction form
    491.69/678.63 = 292.57/x
  3. Step 3: Cross multiply
    491.69x = 678.63 × 292.57
  4. Step 4: Simplify right side
    491.69x = 198,541.92
  5. Step 5: Solve for x
    x = 198,541.92/491.69
  6. Step 6: Final answer
    x = 403.79

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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.