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Finding the Fourth Proportional to 305.52, 456.36 and 256.92

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Solution

The fourth proportional to 305.52, 456.36 and 256.92 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.52 : 456.36 = 256.92 : x
  2. Step 2: Convert to fraction form
    305.52/456.36 = 256.92/x
  3. Step 3: Cross multiply
    305.52x = 456.36 × 256.92
  4. Step 4: Simplify right side
    305.52x = 117,248.01
  5. Step 5: Solve for x
    x = 117,248.01/305.52
  6. Step 6: Final answer
    x = 383.77

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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.