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Finding the Fourth Proportional to 684.75, 944.94 and 390.05

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Solution

The fourth proportional to 684.75, 944.94 and 390.05 is: 538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 944.94 = 390.05 : x
  2. Step 2: Convert to fraction form
    684.75/944.94 = 390.05/x
  3. Step 3: Cross multiply
    684.75x = 944.94 × 390.05
  4. Step 4: Simplify right side
    684.75x = 368,573.85
  5. Step 5: Solve for x
    x = 368,573.85/684.75
  6. Step 6: Final answer
    x = 538.26

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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.