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Finding the Fourth Proportional to 577.84, 797.42 and 353.71

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Solution

The fourth proportional to 577.84, 797.42 and 353.71 is: 488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 797.42 = 353.71 : x
  2. Step 2: Convert to fraction form
    577.84/797.42 = 353.71/x
  3. Step 3: Cross multiply
    577.84x = 797.42 × 353.71
  4. Step 4: Simplify right side
    577.84x = 282,049.67
  5. Step 5: Solve for x
    x = 282,049.67/577.84
  6. Step 6: Final answer
    x = 488.11

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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.