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Finding the Fourth Proportional to 564.69, 848.63 and 333.69

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Solution

The fourth proportional to 564.69, 848.63 and 333.69 is: 501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 848.63 = 333.69 : x
  2. Step 2: Convert to fraction form
    564.69/848.63 = 333.69/x
  3. Step 3: Cross multiply
    564.69x = 848.63 × 333.69
  4. Step 4: Simplify right side
    564.69x = 283,179.34
  5. Step 5: Solve for x
    x = 283,179.34/564.69
  6. Step 6: Final answer
    x = 501.48

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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.