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Finding the Fourth Proportional to 577.81, 797.60 and 392.26

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Solution

The fourth proportional to 577.81, 797.60 and 392.26 is: 541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.81 : 797.60 = 392.26 : x
  2. Step 2: Convert to fraction form
    577.81/797.60 = 392.26/x
  3. Step 3: Cross multiply
    577.81x = 797.60 × 392.26
  4. Step 4: Simplify right side
    577.81x = 312,864.61
  5. Step 5: Solve for x
    x = 312,864.61/577.81
  6. Step 6: Final answer
    x = 541.47

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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.