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Finding the Fourth Proportional to 341.44, 509.48 and 287.44

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Solution

The fourth proportional to 341.44, 509.48 and 287.44 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 509.48 = 287.44 : x
  2. Step 2: Convert to fraction form
    341.44/509.48 = 287.44/x
  3. Step 3: Cross multiply
    341.44x = 509.48 × 287.44
  4. Step 4: Simplify right side
    341.44x = 146,444.93
  5. Step 5: Solve for x
    x = 146,444.93/341.44
  6. Step 6: Final answer
    x = 428.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.