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Finding the Fourth Proportional to 578.24, 867.68 and 358.98

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Solution

The fourth proportional to 578.24, 867.68 and 358.98 is: 538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 867.68 = 358.98 : x
  2. Step 2: Convert to fraction form
    578.24/867.68 = 358.98/x
  3. Step 3: Cross multiply
    578.24x = 867.68 × 358.98
  4. Step 4: Simplify right side
    578.24x = 311,479.77
  5. Step 5: Solve for x
    x = 311,479.77/578.24
  6. Step 6: Final answer
    x = 538.67

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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.