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Finding the Fourth Proportional to 705.15, 972.99 and 439.68

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Solution

The fourth proportional to 705.15, 972.99 and 439.68 is: 606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.15 : 972.99 = 439.68 : x
  2. Step 2: Convert to fraction form
    705.15/972.99 = 439.68/x
  3. Step 3: Cross multiply
    705.15x = 972.99 × 439.68
  4. Step 4: Simplify right side
    705.15x = 427,804.24
  5. Step 5: Solve for x
    x = 427,804.24/705.15
  6. Step 6: Final answer
    x = 606.69

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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.