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Finding the Fourth Proportional to 295.04, 407.27 and 207.97

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Solution

The fourth proportional to 295.04, 407.27 and 207.97 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.27 = 207.97 : x
  2. Step 2: Convert to fraction form
    295.04/407.27 = 207.97/x
  3. Step 3: Cross multiply
    295.04x = 407.27 × 207.97
  4. Step 4: Simplify right side
    295.04x = 84,699.44
  5. Step 5: Solve for x
    x = 84,699.44/295.04
  6. Step 6: Final answer
    x = 287.08

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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.