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Finding the Fourth Proportional to 719.25, 992.69 and 424.59

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Solution

The fourth proportional to 719.25, 992.69 and 424.59 is: 586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 992.69 = 424.59 : x
  2. Step 2: Convert to fraction form
    719.25/992.69 = 424.59/x
  3. Step 3: Cross multiply
    719.25x = 992.69 × 424.59
  4. Step 4: Simplify right side
    719.25x = 421,486.25
  5. Step 5: Solve for x
    x = 421,486.25/719.25
  6. Step 6: Final answer
    x = 586.01

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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.