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Finding the Fourth Proportional to 415.40, 571.77 and 359.91

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Solution

The fourth proportional to 415.40, 571.77 and 359.91 is: 495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 571.77 = 359.91 : x
  2. Step 2: Convert to fraction form
    415.40/571.77 = 359.91/x
  3. Step 3: Cross multiply
    415.40x = 571.77 × 359.91
  4. Step 4: Simplify right side
    415.40x = 205,785.74
  5. Step 5: Solve for x
    x = 205,785.74/415.40
  6. Step 6: Final answer
    x = 495.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.