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Finding the Fourth Proportional to 719.40, 992.58 and 424.56

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Solution

The fourth proportional to 719.40, 992.58 and 424.56 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.40 : 992.58 = 424.56 : x
  2. Step 2: Convert to fraction form
    719.40/992.58 = 424.56/x
  3. Step 3: Cross multiply
    719.40x = 992.58 × 424.56
  4. Step 4: Simplify right side
    719.40x = 421,409.76
  5. Step 5: Solve for x
    x = 421,409.76/719.40
  6. Step 6: Final answer
    x = 585.78

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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.