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Finding the Fourth Proportional to 684.37, 944.17 and 435.65

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Solution

The fourth proportional to 684.37, 944.17 and 435.65 is: 601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.37 : 944.17 = 435.65 : x
  2. Step 2: Convert to fraction form
    684.37/944.17 = 435.65/x
  3. Step 3: Cross multiply
    684.37x = 944.17 × 435.65
  4. Step 4: Simplify right side
    684.37x = 411,321.85
  5. Step 5: Solve for x
    x = 411,321.85/684.37
  6. Step 6: Final answer
    x = 601.02

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1.5x scale

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.