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Finding the Fourth Proportional to 434.39, 651.06 and 228.59

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Solution

The fourth proportional to 434.39, 651.06 and 228.59 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 651.06 = 228.59 : x
  2. Step 2: Convert to fraction form
    434.39/651.06 = 228.59/x
  3. Step 3: Cross multiply
    434.39x = 651.06 × 228.59
  4. Step 4: Simplify right side
    434.39x = 148,822.55
  5. Step 5: Solve for x
    x = 148,822.55/434.39
  6. Step 6: Final answer
    x = 342.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.