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Finding the Fourth Proportional to 719.72, 993.19 and 405.02

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Solution

The fourth proportional to 719.72, 993.19 and 405.02 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 993.19 = 405.02 : x
  2. Step 2: Convert to fraction form
    719.72/993.19 = 405.02/x
  3. Step 3: Cross multiply
    719.72x = 993.19 × 405.02
  4. Step 4: Simplify right side
    719.72x = 402,255.84
  5. Step 5: Solve for x
    x = 402,255.84/719.72
  6. Step 6: Final answer
    x = 558.91

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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.