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Finding the Fourth Proportional to 315.59, 434.54 and 228.11

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Solution

The fourth proportional to 315.59, 434.54 and 228.11 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.59 : 434.54 = 228.11 : x
  2. Step 2: Convert to fraction form
    315.59/434.54 = 228.11/x
  3. Step 3: Cross multiply
    315.59x = 434.54 × 228.11
  4. Step 4: Simplify right side
    315.59x = 99,121.32
  5. Step 5: Solve for x
    x = 99,121.32/315.59
  6. Step 6: Final answer
    x = 314.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.