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Finding the Fourth Proportional to 415.05, 572.76 and 228.51

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Solution

The fourth proportional to 415.05, 572.76 and 228.51 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.76 = 228.51 : x
  2. Step 2: Convert to fraction form
    415.05/572.76 = 228.51/x
  3. Step 3: Cross multiply
    415.05x = 572.76 × 228.51
  4. Step 4: Simplify right side
    415.05x = 130,881.39
  5. Step 5: Solve for x
    x = 130,881.39/415.05
  6. Step 6: Final answer
    x = 315.34

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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.