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Finding the Fourth Proportional to 576.86, 795.83 and 402.30

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Solution

The fourth proportional to 576.86, 795.83 and 402.30 is: 555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.86 : 795.83 = 402.30 : x
  2. Step 2: Convert to fraction form
    576.86/795.83 = 402.30/x
  3. Step 3: Cross multiply
    576.86x = 795.83 × 402.30
  4. Step 4: Simplify right side
    576.86x = 320,160.40
  5. Step 5: Solve for x
    x = 320,160.40/576.86
  6. Step 6: Final answer
    x = 555.01

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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.