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Finding the Fourth Proportional to 584.92, 807.30 and 348.89

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Solution

The fourth proportional to 584.92, 807.30 and 348.89 is: 481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.30 = 348.89 : x
  2. Step 2: Convert to fraction form
    584.92/807.30 = 348.89/x
  3. Step 3: Cross multiply
    584.92x = 807.30 × 348.89
  4. Step 4: Simplify right side
    584.92x = 281,653.12
  5. Step 5: Solve for x
    x = 281,653.12/584.92
  6. Step 6: Final answer
    x = 481.52

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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.