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Finding the Fourth Proportional to 304.97, 456.64 and 174.86

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Solution

The fourth proportional to 304.97, 456.64 and 174.86 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.97 : 456.64 = 174.86 : x
  2. Step 2: Convert to fraction form
    304.97/456.64 = 174.86/x
  3. Step 3: Cross multiply
    304.97x = 456.64 × 174.86
  4. Step 4: Simplify right side
    304.97x = 79,848.77
  5. Step 5: Solve for x
    x = 79,848.77/304.97
  6. Step 6: Final answer
    x = 261.82

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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.