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Finding the Fourth Proportional to 633.68, 874.52 and 368.22

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Solution

The fourth proportional to 633.68, 874.52 and 368.22 is: 508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 874.52 = 368.22 : x
  2. Step 2: Convert to fraction form
    633.68/874.52 = 368.22/x
  3. Step 3: Cross multiply
    633.68x = 874.52 × 368.22
  4. Step 4: Simplify right side
    633.68x = 322,015.75
  5. Step 5: Solve for x
    x = 322,015.75/633.68
  6. Step 6: Final answer
    x = 508.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.