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Finding the Fourth Proportional to 523.83, 786.66 and 359.82

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Solution

The fourth proportional to 523.83, 786.66 and 359.82 is: 540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 786.66 = 359.82 : x
  2. Step 2: Convert to fraction form
    523.83/786.66 = 359.82/x
  3. Step 3: Cross multiply
    523.83x = 786.66 × 359.82
  4. Step 4: Simplify right side
    523.83x = 283,056.00
  5. Step 5: Solve for x
    x = 283,056.00/523.83
  6. Step 6: Final answer
    x = 540.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.