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Finding the Fourth Proportional to 945.40, 1,418.10 and 360.27

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Solution

The fourth proportional to 945.40, 1,418.10 and 360.27 is: 540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,418.10 = 360.27 : x
  2. Step 2: Convert to fraction form
    945.40/1,418.10 = 360.27/x
  3. Step 3: Cross multiply
    945.40x = 1,418.10 × 360.27
  4. Step 4: Simplify right side
    945.40x = 510,898.89
  5. Step 5: Solve for x
    x = 510,898.89/945.40
  6. Step 6: Final answer
    x = 540.41

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Double scale
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1.5x scale

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.