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Finding the Fourth Proportional to 559.01, 771.77 and 418.00

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Solution

The fourth proportional to 559.01, 771.77 and 418.00 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.01 : 771.77 = 418.00 : x
  2. Step 2: Convert to fraction form
    559.01/771.77 = 418.00/x
  3. Step 3: Cross multiply
    559.01x = 771.77 × 418.00
  4. Step 4: Simplify right side
    559.01x = 322,599.04
  5. Step 5: Solve for x
    x = 322,599.04/559.01
  6. Step 6: Final answer
    x = 577.09

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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.