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Finding the Fourth Proportional to 569.54, 786.47 and 360.09

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Solution

The fourth proportional to 569.54, 786.47 and 360.09 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 786.47 = 360.09 : x
  2. Step 2: Convert to fraction form
    569.54/786.47 = 360.09/x
  3. Step 3: Cross multiply
    569.54x = 786.47 × 360.09
  4. Step 4: Simplify right side
    569.54x = 283,198.18
  5. Step 5: Solve for x
    x = 283,198.18/569.54
  6. Step 6: Final answer
    x = 497.24

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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.