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Finding the Fourth Proportional to 578.16, 867.44 and 289.76

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Solution

The fourth proportional to 578.16, 867.44 and 289.76 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 867.44 = 289.76 : x
  2. Step 2: Convert to fraction form
    578.16/867.44 = 289.76/x
  3. Step 3: Cross multiply
    578.16x = 867.44 × 289.76
  4. Step 4: Simplify right side
    578.16x = 251,349.41
  5. Step 5: Solve for x
    x = 251,349.41/578.16
  6. Step 6: Final answer
    x = 434.74

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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.