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Finding the Fourth Proportional to 409.34, 614.45 and 360.91

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Solution

The fourth proportional to 409.34, 614.45 and 360.91 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 614.45 = 360.91 : x
  2. Step 2: Convert to fraction form
    409.34/614.45 = 360.91/x
  3. Step 3: Cross multiply
    409.34x = 614.45 × 360.91
  4. Step 4: Simplify right side
    409.34x = 221,758.96
  5. Step 5: Solve for x
    x = 221,758.96/409.34
  6. Step 6: Final answer
    x = 541.74

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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.