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Finding the Fourth Proportional to 300.90, 448.24 and 291.84

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Solution

The fourth proportional to 300.90, 448.24 and 291.84 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 448.24 = 291.84 : x
  2. Step 2: Convert to fraction form
    300.90/448.24 = 291.84/x
  3. Step 3: Cross multiply
    300.90x = 448.24 × 291.84
  4. Step 4: Simplify right side
    300.90x = 130,814.36
  5. Step 5: Solve for x
    x = 130,814.36/300.90
  6. Step 6: Final answer
    x = 434.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.