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Finding the Fourth Proportional to 482.24, 723.53 and 204.67

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Solution

The fourth proportional to 482.24, 723.53 and 204.67 is: 307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.24 : 723.53 = 204.67 : x
  2. Step 2: Convert to fraction form
    482.24/723.53 = 204.67/x
  3. Step 3: Cross multiply
    482.24x = 723.53 × 204.67
  4. Step 4: Simplify right side
    482.24x = 148,082.23
  5. Step 5: Solve for x
    x = 148,082.23/482.24
  6. Step 6: Final answer
    x = 307.07

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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.