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Finding the Fourth Proportional to 577.66, 796.23 and 402.70

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Solution

The fourth proportional to 577.66, 796.23 and 402.70 is: 555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.66 : 796.23 = 402.70 : x
  2. Step 2: Convert to fraction form
    577.66/796.23 = 402.70/x
  3. Step 3: Cross multiply
    577.66x = 796.23 × 402.70
  4. Step 4: Simplify right side
    577.66x = 320,641.82
  5. Step 5: Solve for x
    x = 320,641.82/577.66
  6. Step 6: Final answer
    x = 555.07

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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.