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Finding the Fourth Proportional to 459.32, 689 and 228.40

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Solution

The fourth proportional to 459.32, 689 and 228.40 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.32 : 689 = 228.40 : x
  2. Step 2: Convert to fraction form
    459.32/689 = 228.40/x
  3. Step 3: Cross multiply
    459.32x = 689 × 228.40
  4. Step 4: Simplify right side
    459.32x = 157,367.60
  5. Step 5: Solve for x
    x = 157,367.60/459.32
  6. Step 6: Final answer
    x = 342.61

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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.