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Finding the Fourth Proportional to 498.04, 687.36 and 340.83

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Solution

The fourth proportional to 498.04, 687.36 and 340.83 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.04 : 687.36 = 340.83 : x
  2. Step 2: Convert to fraction form
    498.04/687.36 = 340.83/x
  3. Step 3: Cross multiply
    498.04x = 687.36 × 340.83
  4. Step 4: Simplify right side
    498.04x = 234,274.63
  5. Step 5: Solve for x
    x = 234,274.63/498.04
  6. Step 6: Final answer
    x = 470.39

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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.