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Finding the Fourth Proportional to 823.84, 1,235.96 and 304

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Solution

The fourth proportional to 823.84, 1,235.96 and 304 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,235.96 = 304 : x
  2. Step 2: Convert to fraction form
    823.84/1,235.96 = 304/x
  3. Step 3: Cross multiply
    823.84x = 1,235.96 × 304
  4. Step 4: Simplify right side
    823.84x = 375,731.84
  5. Step 5: Solve for x
    x = 375,731.84/823.84
  6. Step 6: Final answer
    x = 456.07

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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.