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Finding the Fourth Proportional to 486.46, 730.61 and 417.20

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Solution

The fourth proportional to 486.46, 730.61 and 417.20 is: 626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 730.61 = 417.20 : x
  2. Step 2: Convert to fraction form
    486.46/730.61 = 417.20/x
  3. Step 3: Cross multiply
    486.46x = 730.61 × 417.20
  4. Step 4: Simplify right side
    486.46x = 304,810.49
  5. Step 5: Solve for x
    x = 304,810.49/486.46
  6. Step 6: Final answer
    x = 626.59

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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.