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Finding the Fourth Proportional to 914.08, 1,370.70 and 365.80

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Solution

The fourth proportional to 914.08, 1,370.70 and 365.80 is: 548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.08 : 1,370.70 = 365.80 : x
  2. Step 2: Convert to fraction form
    914.08/1,370.70 = 365.80/x
  3. Step 3: Cross multiply
    914.08x = 1,370.70 × 365.80
  4. Step 4: Simplify right side
    914.08x = 501,402.06
  5. Step 5: Solve for x
    x = 501,402.06/914.08
  6. Step 6: Final answer
    x = 548.53

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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.