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Finding the Fourth Proportional to 459.94, 691.17 and 243.67

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Solution

The fourth proportional to 459.94, 691.17 and 243.67 is: 366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.94 : 691.17 = 243.67 : x
  2. Step 2: Convert to fraction form
    459.94/691.17 = 243.67/x
  3. Step 3: Cross multiply
    459.94x = 691.17 × 243.67
  4. Step 4: Simplify right side
    459.94x = 168,417.39
  5. Step 5: Solve for x
    x = 168,417.39/459.94
  6. Step 6: Final answer
    x = 366.17

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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.