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Finding the Fourth Proportional to 684.90, 945 and 390.15

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Solution

The fourth proportional to 684.90, 945 and 390.15 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 945 = 390.15 : x
  2. Step 2: Convert to fraction form
    684.90/945 = 390.15/x
  3. Step 3: Cross multiply
    684.90x = 945 × 390.15
  4. Step 4: Simplify right side
    684.90x = 368,691.75
  5. Step 5: Solve for x
    x = 368,691.75/684.90
  6. Step 6: Final answer
    x = 538.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.