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Finding the Fourth Proportional to 719.28, 992.67 and 404.67

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Solution

The fourth proportional to 719.28, 992.67 and 404.67 is: 558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.28 : 992.67 = 404.67 : x
  2. Step 2: Convert to fraction form
    719.28/992.67 = 404.67/x
  3. Step 3: Cross multiply
    719.28x = 992.67 × 404.67
  4. Step 4: Simplify right side
    719.28x = 401,703.77
  5. Step 5: Solve for x
    x = 401,703.77/719.28
  6. Step 6: Final answer
    x = 558.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.