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Finding the Fourth Proportional to 684.72, 944.88 and 390.09

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Solution

The fourth proportional to 684.72, 944.88 and 390.09 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 944.88 = 390.09 : x
  2. Step 2: Convert to fraction form
    684.72/944.88 = 390.09/x
  3. Step 3: Cross multiply
    684.72x = 944.88 × 390.09
  4. Step 4: Simplify right side
    684.72x = 368,588.24
  5. Step 5: Solve for x
    x = 368,588.24/684.72
  6. Step 6: Final answer
    x = 538.31

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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.