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Finding the Fourth Proportional to 346.32, 517.89 and 258.63

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Solution

The fourth proportional to 346.32, 517.89 and 258.63 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.32 : 517.89 = 258.63 : x
  2. Step 2: Convert to fraction form
    346.32/517.89 = 258.63/x
  3. Step 3: Cross multiply
    346.32x = 517.89 × 258.63
  4. Step 4: Simplify right side
    346.32x = 133,941.89
  5. Step 5: Solve for x
    x = 133,941.89/346.32
  6. Step 6: Final answer
    x = 386.76

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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.