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Finding the Fourth Proportional to 524.86, 786.51 and 386.80

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Solution

The fourth proportional to 524.86, 786.51 and 386.80 is: 579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 786.51 = 386.80 : x
  2. Step 2: Convert to fraction form
    524.86/786.51 = 386.80/x
  3. Step 3: Cross multiply
    524.86x = 786.51 × 386.80
  4. Step 4: Simplify right side
    524.86x = 304,222.07
  5. Step 5: Solve for x
    x = 304,222.07/524.86
  6. Step 6: Final answer
    x = 579.63

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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.