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Finding the Fourth Proportional to 684.42, 1,027.24 and 360.02

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Solution

The fourth proportional to 684.42, 1,027.24 and 360.02 is: 540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 1,027.24 = 360.02 : x
  2. Step 2: Convert to fraction form
    684.42/1,027.24 = 360.02/x
  3. Step 3: Cross multiply
    684.42x = 1,027.24 × 360.02
  4. Step 4: Simplify right side
    684.42x = 369,826.94
  5. Step 5: Solve for x
    x = 369,826.94/684.42
  6. Step 6: Final answer
    x = 540.35

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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.