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Finding the Fourth Proportional to 577.84, 797.44 and 353.82

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Solution

The fourth proportional to 577.84, 797.44 and 353.82 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 797.44 = 353.82 : x
  2. Step 2: Convert to fraction form
    577.84/797.44 = 353.82/x
  3. Step 3: Cross multiply
    577.84x = 797.44 × 353.82
  4. Step 4: Simplify right side
    577.84x = 282,150.22
  5. Step 5: Solve for x
    x = 282,150.22/577.84
  6. Step 6: Final answer
    x = 488.28

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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.