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Finding the Fourth Proportional to 472.13, 707.94 and 228.52

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Solution

The fourth proportional to 472.13, 707.94 and 228.52 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 707.94 = 228.52 : x
  2. Step 2: Convert to fraction form
    472.13/707.94 = 228.52/x
  3. Step 3: Cross multiply
    472.13x = 707.94 × 228.52
  4. Step 4: Simplify right side
    472.13x = 161,779.33
  5. Step 5: Solve for x
    x = 161,779.33/472.13
  6. Step 6: Final answer
    x = 342.66

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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.