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Finding the Fourth Proportional to 719.96, 993.53 and 400.93

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Solution

The fourth proportional to 719.96, 993.53 and 400.93 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 993.53 = 400.93 : x
  2. Step 2: Convert to fraction form
    719.96/993.53 = 400.93/x
  3. Step 3: Cross multiply
    719.96x = 993.53 × 400.93
  4. Step 4: Simplify right side
    719.96x = 398,331.02
  5. Step 5: Solve for x
    x = 398,331.02/719.96
  6. Step 6: Final answer
    x = 553.27

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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.