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Finding the Fourth Proportional to 303.84, 454.68 and 280.89

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Solution

The fourth proportional to 303.84, 454.68 and 280.89 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 454.68 = 280.89 : x
  2. Step 2: Convert to fraction form
    303.84/454.68 = 280.89/x
  3. Step 3: Cross multiply
    303.84x = 454.68 × 280.89
  4. Step 4: Simplify right side
    303.84x = 127,715.07
  5. Step 5: Solve for x
    x = 127,715.07/303.84
  6. Step 6: Final answer
    x = 420.34

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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.