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Finding the Fourth Proportional to 584.93, 807.15 and 336.33

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Solution

The fourth proportional to 584.93, 807.15 and 336.33 is: 464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.93 : 807.15 = 336.33 : x
  2. Step 2: Convert to fraction form
    584.93/807.15 = 336.33/x
  3. Step 3: Cross multiply
    584.93x = 807.15 × 336.33
  4. Step 4: Simplify right side
    584.93x = 271,467.08
  5. Step 5: Solve for x
    x = 271,467.08/584.93
  6. Step 6: Final answer
    x = 464.10

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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.