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Finding the Fourth Proportional to 614.08, 847.50 and 381.22

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Solution

The fourth proportional to 614.08, 847.50 and 381.22 is: 526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.08 : 847.50 = 381.22 : x
  2. Step 2: Convert to fraction form
    614.08/847.50 = 381.22/x
  3. Step 3: Cross multiply
    614.08x = 847.50 × 381.22
  4. Step 4: Simplify right side
    614.08x = 323,083.95
  5. Step 5: Solve for x
    x = 323,083.95/614.08
  6. Step 6: Final answer
    x = 526.13

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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.