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Finding the Fourth Proportional to 434.19, 651.57 and 228.87

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Solution

The fourth proportional to 434.19, 651.57 and 228.87 is: 343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.19 : 651.57 = 228.87 : x
  2. Step 2: Convert to fraction form
    434.19/651.57 = 228.87/x
  3. Step 3: Cross multiply
    434.19x = 651.57 × 228.87
  4. Step 4: Simplify right side
    434.19x = 149,124.83
  5. Step 5: Solve for x
    x = 149,124.83/434.19
  6. Step 6: Final answer
    x = 343.46

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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.