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Finding the Fourth Proportional to 459.49, 688.58 and 228.16

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Solution

The fourth proportional to 459.49, 688.58 and 228.16 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 688.58 = 228.16 : x
  2. Step 2: Convert to fraction form
    459.49/688.58 = 228.16/x
  3. Step 3: Cross multiply
    459.49x = 688.58 × 228.16
  4. Step 4: Simplify right side
    459.49x = 157,102.97
  5. Step 5: Solve for x
    x = 157,102.97/459.49
  6. Step 6: Final answer
    x = 341.91

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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.