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Finding the Fourth Proportional to 346.07, 517.08 and 262.13

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Solution

The fourth proportional to 346.07, 517.08 and 262.13 is: 391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.07 : 517.08 = 262.13 : x
  2. Step 2: Convert to fraction form
    346.07/517.08 = 262.13/x
  3. Step 3: Cross multiply
    346.07x = 517.08 × 262.13
  4. Step 4: Simplify right side
    346.07x = 135,539.60
  5. Step 5: Solve for x
    x = 135,539.60/346.07
  6. Step 6: Final answer
    x = 391.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.