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Finding the Fourth Proportional to 459.82, 689.14 and 228.79

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Solution

The fourth proportional to 459.82, 689.14 and 228.79 is: 342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.82 : 689.14 = 228.79 : x
  2. Step 2: Convert to fraction form
    459.82/689.14 = 228.79/x
  3. Step 3: Cross multiply
    459.82x = 689.14 × 228.79
  4. Step 4: Simplify right side
    459.82x = 157,668.34
  5. Step 5: Solve for x
    x = 157,668.34/459.82
  6. Step 6: Final answer
    x = 342.89

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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.