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Finding the Fourth Proportional to 486.89, 730.31 and 340.22

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Solution

The fourth proportional to 486.89, 730.31 and 340.22 is: 510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 730.31 = 340.22 : x
  2. Step 2: Convert to fraction form
    486.89/730.31 = 340.22/x
  3. Step 3: Cross multiply
    486.89x = 730.31 × 340.22
  4. Step 4: Simplify right side
    486.89x = 248,460.72
  5. Step 5: Solve for x
    x = 248,460.72/486.89
  6. Step 6: Final answer
    x = 510.31

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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.