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Finding the Fourth Proportional to 346.33, 518.29 and 283.91

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Solution

The fourth proportional to 346.33, 518.29 and 283.91 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.33 : 518.29 = 283.91 : x
  2. Step 2: Convert to fraction form
    346.33/518.29 = 283.91/x
  3. Step 3: Cross multiply
    346.33x = 518.29 × 283.91
  4. Step 4: Simplify right side
    346.33x = 147,147.71
  5. Step 5: Solve for x
    x = 147,147.71/346.33
  6. Step 6: Final answer
    x = 424.88

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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.