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Finding the Fourth Proportional to 566.77, 780.44 and 519.99

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Solution

The fourth proportional to 566.77, 780.44 and 519.99 is: 716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.77 : 780.44 = 519.99 : x
  2. Step 2: Convert to fraction form
    566.77/780.44 = 519.99/x
  3. Step 3: Cross multiply
    566.77x = 780.44 × 519.99
  4. Step 4: Simplify right side
    566.77x = 405,814.49
  5. Step 5: Solve for x
    x = 405,814.49/566.77
  6. Step 6: Final answer
    x = 716.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.