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Finding the Fourth Proportional to 456.93, 686.07 and 262.15

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Solution

The fourth proportional to 456.93, 686.07 and 262.15 is: 393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 686.07 = 262.15 : x
  2. Step 2: Convert to fraction form
    456.93/686.07 = 262.15/x
  3. Step 3: Cross multiply
    456.93x = 686.07 × 262.15
  4. Step 4: Simplify right side
    456.93x = 179,848.51
  5. Step 5: Solve for x
    x = 179,848.51/456.93
  6. Step 6: Final answer
    x = 393.61

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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.