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Finding the Fourth Proportional to 341.42, 511.52 and 225.59

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Solution

The fourth proportional to 341.42, 511.52 and 225.59 is: 337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 511.52 = 225.59 : x
  2. Step 2: Convert to fraction form
    341.42/511.52 = 225.59/x
  3. Step 3: Cross multiply
    341.42x = 511.52 × 225.59
  4. Step 4: Simplify right side
    341.42x = 115,390.11
  5. Step 5: Solve for x
    x = 115,390.11/341.42
  6. Step 6: Final answer
    x = 337.98

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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.