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Finding the Fourth Proportional to 500.40, 749.88 and 346.14

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Solution

The fourth proportional to 500.40, 749.88 and 346.14 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 749.88 = 346.14 : x
  2. Step 2: Convert to fraction form
    500.40/749.88 = 346.14/x
  3. Step 3: Cross multiply
    500.40x = 749.88 × 346.14
  4. Step 4: Simplify right side
    500.40x = 259,563.46
  5. Step 5: Solve for x
    x = 259,563.46/500.40
  6. Step 6: Final answer
    x = 518.71

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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.