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Finding the Fourth Proportional to 523.06, 721.43 and 345.71

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Solution

The fourth proportional to 523.06, 721.43 and 345.71 is: 476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 721.43 = 345.71 : x
  2. Step 2: Convert to fraction form
    523.06/721.43 = 345.71/x
  3. Step 3: Cross multiply
    523.06x = 721.43 × 345.71
  4. Step 4: Simplify right side
    523.06x = 249,400.65
  5. Step 5: Solve for x
    x = 249,400.65/523.06
  6. Step 6: Final answer
    x = 476.81

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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.