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Finding the Fourth Proportional to 369.27, 509.35 and 257.06

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Solution

The fourth proportional to 369.27, 509.35 and 257.06 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.27 : 509.35 = 257.06 : x
  2. Step 2: Convert to fraction form
    369.27/509.35 = 257.06/x
  3. Step 3: Cross multiply
    369.27x = 509.35 × 257.06
  4. Step 4: Simplify right side
    369.27x = 130,929.68
  5. Step 5: Solve for x
    x = 130,929.68/369.27
  6. Step 6: Final answer
    x = 354.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.