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Finding the Fourth Proportional to 523.67, 786.71 and 377.87

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Solution

The fourth proportional to 523.67, 786.71 and 377.87 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.67 : 786.71 = 377.87 : x
  2. Step 2: Convert to fraction form
    523.67/786.71 = 377.87/x
  3. Step 3: Cross multiply
    523.67x = 786.71 × 377.87
  4. Step 4: Simplify right side
    523.67x = 297,271.12
  5. Step 5: Solve for x
    x = 297,271.12/523.67
  6. Step 6: Final answer
    x = 567.67

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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.