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Finding the Fourth Proportional to 434.42, 651.02 and 228.58

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Solution

The fourth proportional to 434.42, 651.02 and 228.58 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.42 : 651.02 = 228.58 : x
  2. Step 2: Convert to fraction form
    434.42/651.02 = 228.58/x
  3. Step 3: Cross multiply
    434.42x = 651.02 × 228.58
  4. Step 4: Simplify right side
    434.42x = 148,810.15
  5. Step 5: Solve for x
    x = 148,810.15/434.42
  6. Step 6: Final answer
    x = 342.55

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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.