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Finding the Fourth Proportional to 772.46, 1,159.24 and 304

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Solution

The fourth proportional to 772.46, 1,159.24 and 304 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.46 : 1,159.24 = 304 : x
  2. Step 2: Convert to fraction form
    772.46/1,159.24 = 304/x
  3. Step 3: Cross multiply
    772.46x = 1,159.24 × 304
  4. Step 4: Simplify right side
    772.46x = 352,408.96
  5. Step 5: Solve for x
    x = 352,408.96/772.46
  6. Step 6: Final answer
    x = 456.22

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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.