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Finding the Fourth Proportional to 304.74, 456.52 and 256.29

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Solution

The fourth proportional to 304.74, 456.52 and 256.29 is: 383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 456.52 = 256.29 : x
  2. Step 2: Convert to fraction form
    304.74/456.52 = 256.29/x
  3. Step 3: Cross multiply
    304.74x = 456.52 × 256.29
  4. Step 4: Simplify right side
    304.74x = 117,001.51
  5. Step 5: Solve for x
    x = 117,001.51/304.74
  6. Step 6: Final answer
    x = 383.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.