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Finding the Fourth Proportional to 584.81, 807.15 and 348.69

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Solution

The fourth proportional to 584.81, 807.15 and 348.69 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 807.15 = 348.69 : x
  2. Step 2: Convert to fraction form
    584.81/807.15 = 348.69/x
  3. Step 3: Cross multiply
    584.81x = 807.15 × 348.69
  4. Step 4: Simplify right side
    584.81x = 281,439.35
  5. Step 5: Solve for x
    x = 281,439.35/584.81
  6. Step 6: Final answer
    x = 481.25

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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.