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Finding the Fourth Proportional to 492, 678.88 and 290.16

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Solution

The fourth proportional to 492, 678.88 and 290.16 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 678.88 = 290.16 : x
  2. Step 2: Convert to fraction form
    492/678.88 = 290.16/x
  3. Step 3: Cross multiply
    492x = 678.88 × 290.16
  4. Step 4: Simplify right side
    492x = 196,983.82
  5. Step 5: Solve for x
    x = 196,983.82/492
  6. Step 6: Final answer
    x = 400.37

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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.