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Finding the Fourth Proportional to 719.30, 992.62 and 420.62

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Solution

The fourth proportional to 719.30, 992.62 and 420.62 is: 580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 992.62 = 420.62 : x
  2. Step 2: Convert to fraction form
    719.30/992.62 = 420.62/x
  3. Step 3: Cross multiply
    719.30x = 992.62 × 420.62
  4. Step 4: Simplify right side
    719.30x = 417,509.81
  5. Step 5: Solve for x
    x = 417,509.81/719.30
  6. Step 6: Final answer
    x = 580.44

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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.