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Finding the Fourth Proportional to 474.89, 712.01 and 228.03

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Solution

The fourth proportional to 474.89, 712.01 and 228.03 is: 341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 712.01 = 228.03 : x
  2. Step 2: Convert to fraction form
    474.89/712.01 = 228.03/x
  3. Step 3: Cross multiply
    474.89x = 712.01 × 228.03
  4. Step 4: Simplify right side
    474.89x = 162,358.50
  5. Step 5: Solve for x
    x = 162,358.50/474.89
  6. Step 6: Final answer
    x = 341.89

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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.