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Finding the Fourth Proportional to 647.18, 893.14 and 381.70

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Solution

The fourth proportional to 647.18, 893.14 and 381.70 is: 526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.18 : 893.14 = 381.70 : x
  2. Step 2: Convert to fraction form
    647.18/893.14 = 381.70/x
  3. Step 3: Cross multiply
    647.18x = 893.14 × 381.70
  4. Step 4: Simplify right side
    647.18x = 340,911.54
  5. Step 5: Solve for x
    x = 340,911.54/647.18
  6. Step 6: Final answer
    x = 526.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.