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Finding the Fourth Proportional to 577.93, 797.81 and 357.01

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Solution

The fourth proportional to 577.93, 797.81 and 357.01 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.93 : 797.81 = 357.01 : x
  2. Step 2: Convert to fraction form
    577.93/797.81 = 357.01/x
  3. Step 3: Cross multiply
    577.93x = 797.81 × 357.01
  4. Step 4: Simplify right side
    577.93x = 284,820.37
  5. Step 5: Solve for x
    x = 284,820.37/577.93
  6. Step 6: Final answer
    x = 492.83

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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.