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Finding the Fourth Proportional to 459.47, 689.05 and 228.47

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Solution

The fourth proportional to 459.47, 689.05 and 228.47 is: 342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.47 : 689.05 = 228.47 : x
  2. Step 2: Convert to fraction form
    459.47/689.05 = 228.47/x
  3. Step 3: Cross multiply
    459.47x = 689.05 × 228.47
  4. Step 4: Simplify right side
    459.47x = 157,422.67
  5. Step 5: Solve for x
    x = 157,422.67/459.47
  6. Step 6: Final answer
    x = 342.62

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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.