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Finding the Fourth Proportional to 597.41, 895.01 and 380.53

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Solution

The fourth proportional to 597.41, 895.01 and 380.53 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.41 : 895.01 = 380.53 : x
  2. Step 2: Convert to fraction form
    597.41/895.01 = 380.53/x
  3. Step 3: Cross multiply
    597.41x = 895.01 × 380.53
  4. Step 4: Simplify right side
    597.41x = 340,572.73
  5. Step 5: Solve for x
    x = 340,572.73/597.41
  6. Step 6: Final answer
    x = 570.09

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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.