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Finding the Fourth Proportional to 577.96, 797.18 and 381.40

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Solution

The fourth proportional to 577.96, 797.18 and 381.40 is: 526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 797.18 = 381.40 : x
  2. Step 2: Convert to fraction form
    577.96/797.18 = 381.40/x
  3. Step 3: Cross multiply
    577.96x = 797.18 × 381.40
  4. Step 4: Simplify right side
    577.96x = 304,044.45
  5. Step 5: Solve for x
    x = 304,044.45/577.96
  6. Step 6: Final answer
    x = 526.06

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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.