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Finding the Fourth Proportional to 523.61, 786.23 and 475.82

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Solution

The fourth proportional to 523.61, 786.23 and 475.82 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 786.23 = 475.82 : x
  2. Step 2: Convert to fraction form
    523.61/786.23 = 475.82/x
  3. Step 3: Cross multiply
    523.61x = 786.23 × 475.82
  4. Step 4: Simplify right side
    523.61x = 374,101.58
  5. Step 5: Solve for x
    x = 374,101.58/523.61
  6. Step 6: Final answer
    x = 714.47

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