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Finding the Fourth Proportional to 442.50, 663.24 and 305.13

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Solution

The fourth proportional to 442.50, 663.24 and 305.13 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 663.24 = 305.13 : x
  2. Step 2: Convert to fraction form
    442.50/663.24 = 305.13/x
  3. Step 3: Cross multiply
    442.50x = 663.24 × 305.13
  4. Step 4: Simplify right side
    442.50x = 202,374.42
  5. Step 5: Solve for x
    x = 202,374.42/442.50
  6. Step 6: Final answer
    x = 457.34

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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.