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Finding the Fourth Proportional to 380.60, 570.65 and 322.84

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Solution

The fourth proportional to 380.60, 570.65 and 322.84 is: 484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 570.65 = 322.84 : x
  2. Step 2: Convert to fraction form
    380.60/570.65 = 322.84/x
  3. Step 3: Cross multiply
    380.60x = 570.65 × 322.84
  4. Step 4: Simplify right side
    380.60x = 184,228.03
  5. Step 5: Solve for x
    x = 184,228.03/380.60
  6. Step 6: Final answer
    x = 484.05

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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.