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Finding the Fourth Proportional to 719.34, 992.74 and 420.68

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Solution

The fourth proportional to 719.34, 992.74 and 420.68 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 992.74 = 420.68 : x
  2. Step 2: Convert to fraction form
    719.34/992.74 = 420.68/x
  3. Step 3: Cross multiply
    719.34x = 992.74 × 420.68
  4. Step 4: Simplify right side
    719.34x = 417,625.86
  5. Step 5: Solve for x
    x = 417,625.86/719.34
  6. Step 6: Final answer
    x = 580.57

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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.