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Finding the Fourth Proportional to 719.76, 993.23 and 405.07

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Solution

The fourth proportional to 719.76, 993.23 and 405.07 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.76 : 993.23 = 405.07 : x
  2. Step 2: Convert to fraction form
    719.76/993.23 = 405.07/x
  3. Step 3: Cross multiply
    719.76x = 993.23 × 405.07
  4. Step 4: Simplify right side
    719.76x = 402,325.65
  5. Step 5: Solve for x
    x = 402,325.65/719.76
  6. Step 6: Final answer
    x = 558.98

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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.