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Finding the Fourth Proportional to 495.51, 743.40 and 207.15

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Solution

The fourth proportional to 495.51, 743.40 and 207.15 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 743.40 = 207.15 : x
  2. Step 2: Convert to fraction form
    495.51/743.40 = 207.15/x
  3. Step 3: Cross multiply
    495.51x = 743.40 × 207.15
  4. Step 4: Simplify right side
    495.51x = 153,995.31
  5. Step 5: Solve for x
    x = 153,995.31/495.51
  6. Step 6: Final answer
    x = 310.78

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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.