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Finding the Fourth Proportional to 577.79, 797.74 and 357.07

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Solution

The fourth proportional to 577.79, 797.74 and 357.07 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.79 : 797.74 = 357.07 : x
  2. Step 2: Convert to fraction form
    577.79/797.74 = 357.07/x
  3. Step 3: Cross multiply
    577.79x = 797.74 × 357.07
  4. Step 4: Simplify right side
    577.79x = 284,849.02
  5. Step 5: Solve for x
    x = 284,849.02/577.79
  6. Step 6: Final answer
    x = 493.00

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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.