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Finding the Fourth Proportional to 486.23, 730.55 and 457.07

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Solution

The fourth proportional to 486.23, 730.55 and 457.07 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.23 : 730.55 = 457.07 : x
  2. Step 2: Convert to fraction form
    486.23/730.55 = 457.07/x
  3. Step 3: Cross multiply
    486.23x = 730.55 × 457.07
  4. Step 4: Simplify right side
    486.23x = 333,906.55
  5. Step 5: Solve for x
    x = 333,906.55/486.23
  6. Step 6: Final answer
    x = 686.73

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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.