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Finding the Fourth Proportional to 945.90, 1,418.83 and 360.76

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Solution

The fourth proportional to 945.90, 1,418.83 and 360.76 is: 541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,418.83 = 360.76 : x
  2. Step 2: Convert to fraction form
    945.90/1,418.83 = 360.76/x
  3. Step 3: Cross multiply
    945.90x = 1,418.83 × 360.76
  4. Step 4: Simplify right side
    945.90x = 511,857.11
  5. Step 5: Solve for x
    x = 511,857.11/945.90
  6. Step 6: Final answer
    x = 541.13

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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.