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Finding the Fourth Proportional to 577.77, 795.74 and 532.41

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Solution

The fourth proportional to 577.77, 795.74 and 532.41 is: 733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.77 : 795.74 = 532.41 : x
  2. Step 2: Convert to fraction form
    577.77/795.74 = 532.41/x
  3. Step 3: Cross multiply
    577.77x = 795.74 × 532.41
  4. Step 4: Simplify right side
    577.77x = 423,657.27
  5. Step 5: Solve for x
    x = 423,657.27/577.77
  6. Step 6: Final answer
    x = 733.26

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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.