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Finding the Fourth Proportional to 303.72, 457.46 and 289.14

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Solution

The fourth proportional to 303.72, 457.46 and 289.14 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 457.46 = 289.14 : x
  2. Step 2: Convert to fraction form
    303.72/457.46 = 289.14/x
  3. Step 3: Cross multiply
    303.72x = 457.46 × 289.14
  4. Step 4: Simplify right side
    303.72x = 132,269.98
  5. Step 5: Solve for x
    x = 132,269.98/303.72
  6. Step 6: Final answer
    x = 435.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.