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Finding the Fourth Proportional to 719.22, 992.61 and 424.50

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Solution

The fourth proportional to 719.22, 992.61 and 424.50 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.22 : 992.61 = 424.50 : x
  2. Step 2: Convert to fraction form
    719.22/992.61 = 424.50/x
  3. Step 3: Cross multiply
    719.22x = 992.61 × 424.50
  4. Step 4: Simplify right side
    719.22x = 421,362.95
  5. Step 5: Solve for x
    x = 421,362.95/719.22
  6. Step 6: Final answer
    x = 585.86

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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.