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Finding the Fourth Proportional to 564.44, 848.34 and 383

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Solution

The fourth proportional to 564.44, 848.34 and 383 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 848.34 = 383 : x
  2. Step 2: Convert to fraction form
    564.44/848.34 = 383/x
  3. Step 3: Cross multiply
    564.44x = 848.34 × 383
  4. Step 4: Simplify right side
    564.44x = 324,914.22
  5. Step 5: Solve for x
    x = 324,914.22/564.44
  6. Step 6: Final answer
    x = 575.64

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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.