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Finding the Fourth Proportional to 577.16, 796.45 and 341.10

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Solution

The fourth proportional to 577.16, 796.45 and 341.10 is: 470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 796.45 = 341.10 : x
  2. Step 2: Convert to fraction form
    577.16/796.45 = 341.10/x
  3. Step 3: Cross multiply
    577.16x = 796.45 × 341.10
  4. Step 4: Simplify right side
    577.16x = 271,666.32
  5. Step 5: Solve for x
    x = 271,666.32/577.16
  6. Step 6: Final answer
    x = 470.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.