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Finding the Fourth Proportional to 719.04, 992.32 and 408.64

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Solution

The fourth proportional to 719.04, 992.32 and 408.64 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.04 : 992.32 = 408.64 : x
  2. Step 2: Convert to fraction form
    719.04/992.32 = 408.64/x
  3. Step 3: Cross multiply
    719.04x = 992.32 × 408.64
  4. Step 4: Simplify right side
    719.04x = 405,501.64
  5. Step 5: Solve for x
    x = 405,501.64/719.04
  6. Step 6: Final answer
    x = 563.95

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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.