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Finding the Fourth Proportional to 380.70, 570.38 and 368.01

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Solution

The fourth proportional to 380.70, 570.38 and 368.01 is: 551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 570.38 = 368.01 : x
  2. Step 2: Convert to fraction form
    380.70/570.38 = 368.01/x
  3. Step 3: Cross multiply
    380.70x = 570.38 × 368.01
  4. Step 4: Simplify right side
    380.70x = 209,903.70
  5. Step 5: Solve for x
    x = 209,903.70/380.70
  6. Step 6: Final answer
    x = 551.36

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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.