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Finding the Fourth Proportional to 484.92, 728.08 and 303.08

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Solution

The fourth proportional to 484.92, 728.08 and 303.08 is: 455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 728.08 = 303.08 : x
  2. Step 2: Convert to fraction form
    484.92/728.08 = 303.08/x
  3. Step 3: Cross multiply
    484.92x = 728.08 × 303.08
  4. Step 4: Simplify right side
    484.92x = 220,666.49
  5. Step 5: Solve for x
    x = 220,666.49/484.92
  6. Step 6: Final answer
    x = 455.06

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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.