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Finding the Fourth Proportional to 499.79, 689.81 and 334.06

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Solution

The fourth proportional to 499.79, 689.81 and 334.06 is: 461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.79 : 689.81 = 334.06 : x
  2. Step 2: Convert to fraction form
    499.79/689.81 = 334.06/x
  3. Step 3: Cross multiply
    499.79x = 689.81 × 334.06
  4. Step 4: Simplify right side
    499.79x = 230,437.93
  5. Step 5: Solve for x
    x = 230,437.93/499.79
  6. Step 6: Final answer
    x = 461.07

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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.