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Finding the Fourth Proportional to 491.45, 678.38 and 294.95

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Solution

The fourth proportional to 491.45, 678.38 and 294.95 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.45 : 678.38 = 294.95 : x
  2. Step 2: Convert to fraction form
    491.45/678.38 = 294.95/x
  3. Step 3: Cross multiply
    491.45x = 678.38 × 294.95
  4. Step 4: Simplify right side
    491.45x = 200,088.40
  5. Step 5: Solve for x
    x = 200,088.40/491.45
  6. Step 6: Final answer
    x = 407.14

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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.