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Finding the Fourth Proportional to 719.88, 993.19 and 421.06

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Solution

The fourth proportional to 719.88, 993.19 and 421.06 is: 580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.88 : 993.19 = 421.06 : x
  2. Step 2: Convert to fraction form
    719.88/993.19 = 421.06/x
  3. Step 3: Cross multiply
    719.88x = 993.19 × 421.06
  4. Step 4: Simplify right side
    719.88x = 418,192.58
  5. Step 5: Solve for x
    x = 418,192.58/719.88
  6. Step 6: Final answer
    x = 580.92

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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.