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Finding the Fourth Proportional to 719.02, 992.16 and 404.22

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Solution

The fourth proportional to 719.02, 992.16 and 404.22 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.02 : 992.16 = 404.22 : x
  2. Step 2: Convert to fraction form
    719.02/992.16 = 404.22/x
  3. Step 3: Cross multiply
    719.02x = 992.16 × 404.22
  4. Step 4: Simplify right side
    719.02x = 401,050.92
  5. Step 5: Solve for x
    x = 401,050.92/719.02
  6. Step 6: Final answer
    x = 557.77

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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.