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Finding the Fourth Proportional to 498.15, 685.64 and 358.05

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Solution

The fourth proportional to 498.15, 685.64 and 358.05 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 685.64 = 358.05 : x
  2. Step 2: Convert to fraction form
    498.15/685.64 = 358.05/x
  3. Step 3: Cross multiply
    498.15x = 685.64 × 358.05
  4. Step 4: Simplify right side
    498.15x = 245,491.61
  5. Step 5: Solve for x
    x = 245,491.61/498.15
  6. Step 6: Final answer
    x = 492.81

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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.