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Finding the Fourth Proportional to 718.34, 1,077.78 and 333.50

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Solution

The fourth proportional to 718.34, 1,077.78 and 333.50 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.34 : 1,077.78 = 333.50 : x
  2. Step 2: Convert to fraction form
    718.34/1,077.78 = 333.50/x
  3. Step 3: Cross multiply
    718.34x = 1,077.78 × 333.50
  4. Step 4: Simplify right side
    718.34x = 359,439.63
  5. Step 5: Solve for x
    x = 359,439.63/718.34
  6. Step 6: Final answer
    x = 500.38

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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.