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Finding the Fourth Proportional to 500, 689.86 and 340.76

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Solution

The fourth proportional to 500, 689.86 and 340.76 is: 470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 689.86 = 340.76 : x
  2. Step 2: Convert to fraction form
    500/689.86 = 340.76/x
  3. Step 3: Cross multiply
    500x = 689.86 × 340.76
  4. Step 4: Simplify right side
    500x = 235,076.69
  5. Step 5: Solve for x
    x = 235,076.69/500
  6. Step 6: Final answer
    x = 470.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.