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Finding the Fourth Proportional to 346.86, 517.02 and 346.32

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Solution

The fourth proportional to 346.86, 517.02 and 346.32 is: 516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.86 : 517.02 = 346.32 : x
  2. Step 2: Convert to fraction form
    346.86/517.02 = 346.32/x
  3. Step 3: Cross multiply
    346.86x = 517.02 × 346.32
  4. Step 4: Simplify right side
    346.86x = 179,054.37
  5. Step 5: Solve for x
    x = 179,054.37/346.86
  6. Step 6: Final answer
    x = 516.22

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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.