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Finding the Fourth Proportional to 453.24, 678.87 and 290.07

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Solution

The fourth proportional to 453.24, 678.87 and 290.07 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.24 : 678.87 = 290.07 : x
  2. Step 2: Convert to fraction form
    453.24/678.87 = 290.07/x
  3. Step 3: Cross multiply
    453.24x = 678.87 × 290.07
  4. Step 4: Simplify right side
    453.24x = 196,919.82
  5. Step 5: Solve for x
    x = 196,919.82/453.24
  6. Step 6: Final answer
    x = 434.47

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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.