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Finding the Fourth Proportional to 569.99, 786.18 and 482.05

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Solution

The fourth proportional to 569.99, 786.18 and 482.05 is: 664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.99 : 786.18 = 482.05 : x
  2. Step 2: Convert to fraction form
    569.99/786.18 = 482.05/x
  3. Step 3: Cross multiply
    569.99x = 786.18 × 482.05
  4. Step 4: Simplify right side
    569.99x = 378,979.50
  5. Step 5: Solve for x
    x = 378,979.50/569.99
  6. Step 6: Final answer
    x = 664.89

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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.