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Finding the Fourth Proportional to 647.06, 893.13 and 381.53

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Solution

The fourth proportional to 647.06, 893.13 and 381.53 is: 526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 893.13 = 381.53 : x
  2. Step 2: Convert to fraction form
    647.06/893.13 = 381.53/x
  3. Step 3: Cross multiply
    647.06x = 893.13 × 381.53
  4. Step 4: Simplify right side
    647.06x = 340,755.89
  5. Step 5: Solve for x
    x = 340,755.89/647.06
  6. Step 6: Final answer
    x = 526.62

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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.