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Finding the Fourth Proportional to 715.42, 1,073.08 and 330.67

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Solution

The fourth proportional to 715.42, 1,073.08 and 330.67 is: 495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 1,073.08 = 330.67 : x
  2. Step 2: Convert to fraction form
    715.42/1,073.08 = 330.67/x
  3. Step 3: Cross multiply
    715.42x = 1,073.08 × 330.67
  4. Step 4: Simplify right side
    715.42x = 354,835.36
  5. Step 5: Solve for x
    x = 354,835.36/715.42
  6. Step 6: Final answer
    x = 495.98

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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.