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Finding the Fourth Proportional to 614.61, 847.93 and 365.94

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Solution

The fourth proportional to 614.61, 847.93 and 365.94 is: 504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 847.93 = 365.94 : x
  2. Step 2: Convert to fraction form
    614.61/847.93 = 365.94/x
  3. Step 3: Cross multiply
    614.61x = 847.93 × 365.94
  4. Step 4: Simplify right side
    614.61x = 310,291.50
  5. Step 5: Solve for x
    x = 310,291.50/614.61
  6. Step 6: Final answer
    x = 504.86

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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.