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Finding the Fourth Proportional to 304.29, 456.68 and 289.91

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Solution

The fourth proportional to 304.29, 456.68 and 289.91 is: 435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.29 : 456.68 = 289.91 : x
  2. Step 2: Convert to fraction form
    304.29/456.68 = 289.91/x
  3. Step 3: Cross multiply
    304.29x = 456.68 × 289.91
  4. Step 4: Simplify right side
    304.29x = 132,397.97
  5. Step 5: Solve for x
    x = 132,397.97/304.29
  6. Step 6: Final answer
    x = 435.10

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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.