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Finding the Fourth Proportional to 719.13, 992.34 and 424.41

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Solution

The fourth proportional to 719.13, 992.34 and 424.41 is: 585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.13 : 992.34 = 424.41 : x
  2. Step 2: Convert to fraction form
    719.13/992.34 = 424.41/x
  3. Step 3: Cross multiply
    719.13x = 992.34 × 424.41
  4. Step 4: Simplify right side
    719.13x = 421,159.02
  5. Step 5: Solve for x
    x = 421,159.02/719.13
  6. Step 6: Final answer
    x = 585.65

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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.