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Finding the Fourth Proportional to 459.49, 689.33 and 228.50

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Solution

The fourth proportional to 459.49, 689.33 and 228.50 is: 342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 689.33 = 228.50 : x
  2. Step 2: Convert to fraction form
    459.49/689.33 = 228.50/x
  3. Step 3: Cross multiply
    459.49x = 689.33 × 228.50
  4. Step 4: Simplify right side
    459.49x = 157,514.20
  5. Step 5: Solve for x
    x = 157,514.20/459.49
  6. Step 6: Final answer
    x = 342.80

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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.