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Finding the Fourth Proportional to 564.83, 848.06 and 369.22

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Solution

The fourth proportional to 564.83, 848.06 and 369.22 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 848.06 = 369.22 : x
  2. Step 2: Convert to fraction form
    564.83/848.06 = 369.22/x
  3. Step 3: Cross multiply
    564.83x = 848.06 × 369.22
  4. Step 4: Simplify right side
    564.83x = 313,114.63
  5. Step 5: Solve for x
    x = 313,114.63/564.83
  6. Step 6: Final answer
    x = 554.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.