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Finding the Fourth Proportional to 304.16, 456.17 and 253.13

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Solution

The fourth proportional to 304.16, 456.17 and 253.13 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 456.17 = 253.13 : x
  2. Step 2: Convert to fraction form
    304.16/456.17 = 253.13/x
  3. Step 3: Cross multiply
    304.16x = 456.17 × 253.13
  4. Step 4: Simplify right side
    304.16x = 115,470.31
  5. Step 5: Solve for x
    x = 115,470.31/304.16
  6. Step 6: Final answer
    x = 379.64

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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.