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Finding the Fourth Proportional to 304.41, 457.22 and 261.06

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Solution

The fourth proportional to 304.41, 457.22 and 261.06 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 457.22 = 261.06 : x
  2. Step 2: Convert to fraction form
    304.41/457.22 = 261.06/x
  3. Step 3: Cross multiply
    304.41x = 457.22 × 261.06
  4. Step 4: Simplify right side
    304.41x = 119,360.55
  5. Step 5: Solve for x
    x = 119,360.55/304.41
  6. Step 6: Final answer
    x = 392.10

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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.