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Finding the Fourth Proportional to 719.12, 991.98 and 424.35

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Solution

The fourth proportional to 719.12, 991.98 and 424.35 is: 585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.12 : 991.98 = 424.35 : x
  2. Step 2: Convert to fraction form
    719.12/991.98 = 424.35/x
  3. Step 3: Cross multiply
    719.12x = 991.98 × 424.35
  4. Step 4: Simplify right side
    719.12x = 420,946.71
  5. Step 5: Solve for x
    x = 420,946.71/719.12
  6. Step 6: Final answer
    x = 585.37

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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.