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Finding the Fourth Proportional to 460.17, 689.73 and 228.83

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Solution

The fourth proportional to 460.17, 689.73 and 228.83 is: 342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 689.73 = 228.83 : x
  2. Step 2: Convert to fraction form
    460.17/689.73 = 228.83/x
  3. Step 3: Cross multiply
    460.17x = 689.73 × 228.83
  4. Step 4: Simplify right side
    460.17x = 157,830.92
  5. Step 5: Solve for x
    x = 157,830.92/460.17
  6. Step 6: Final answer
    x = 342.98

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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.