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Finding the Fourth Proportional to 303.48, 418.52 and 256.95

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Solution

The fourth proportional to 303.48, 418.52 and 256.95 is: 354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.48 : 418.52 = 256.95 : x
  2. Step 2: Convert to fraction form
    303.48/418.52 = 256.95/x
  3. Step 3: Cross multiply
    303.48x = 418.52 × 256.95
  4. Step 4: Simplify right side
    303.48x = 107,539.36
  5. Step 5: Solve for x
    x = 107,539.36/303.48
  6. Step 6: Final answer
    x = 354.35

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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.