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Finding the Fourth Proportional to 488.23, 731.84 and 305.20

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Solution

The fourth proportional to 488.23, 731.84 and 305.20 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 731.84 = 305.20 : x
  2. Step 2: Convert to fraction form
    488.23/731.84 = 305.20/x
  3. Step 3: Cross multiply
    488.23x = 731.84 × 305.20
  4. Step 4: Simplify right side
    488.23x = 223,359.93
  5. Step 5: Solve for x
    x = 223,359.93/488.23
  6. Step 6: Final answer
    x = 457.49

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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.