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Finding the Fourth Proportional to 417.52, 626.94 and 349.48

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Solution

The fourth proportional to 417.52, 626.94 and 349.48 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 626.94 = 349.48 : x
  2. Step 2: Convert to fraction form
    417.52/626.94 = 349.48/x
  3. Step 3: Cross multiply
    417.52x = 626.94 × 349.48
  4. Step 4: Simplify right side
    417.52x = 219,102.99
  5. Step 5: Solve for x
    x = 219,102.99/417.52
  6. Step 6: Final answer
    x = 524.77

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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.