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Finding the Fourth Proportional to 561.96, 841.59 and 439.20

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Solution

The fourth proportional to 561.96, 841.59 and 439.20 is: 657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 841.59 = 439.20 : x
  2. Step 2: Convert to fraction form
    561.96/841.59 = 439.20/x
  3. Step 3: Cross multiply
    561.96x = 841.59 × 439.20
  4. Step 4: Simplify right side
    561.96x = 369,626.33
  5. Step 5: Solve for x
    x = 369,626.33/561.96
  6. Step 6: Final answer
    x = 657.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.