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Finding the Fourth Proportional to 524.50, 786.88 and 370.73

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Solution

The fourth proportional to 524.50, 786.88 and 370.73 is: 556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 786.88 = 370.73 : x
  2. Step 2: Convert to fraction form
    524.50/786.88 = 370.73/x
  3. Step 3: Cross multiply
    524.50x = 786.88 × 370.73
  4. Step 4: Simplify right side
    524.50x = 291,720.02
  5. Step 5: Solve for x
    x = 291,720.02/524.50
  6. Step 6: Final answer
    x = 556.19

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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.