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Finding the Fourth Proportional to 592.45, 886.47 and 381.40

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Solution

The fourth proportional to 592.45, 886.47 and 381.40 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.45 : 886.47 = 381.40 : x
  2. Step 2: Convert to fraction form
    592.45/886.47 = 381.40/x
  3. Step 3: Cross multiply
    592.45x = 886.47 × 381.40
  4. Step 4: Simplify right side
    592.45x = 338,099.66
  5. Step 5: Solve for x
    x = 338,099.66/592.45
  6. Step 6: Final answer
    x = 570.68

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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.