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Finding the Fourth Proportional to 719.71, 993.13 and 404.90

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Solution

The fourth proportional to 719.71, 993.13 and 404.90 is: 558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.71 : 993.13 = 404.90 : x
  2. Step 2: Convert to fraction form
    719.71/993.13 = 404.90/x
  3. Step 3: Cross multiply
    719.71x = 993.13 × 404.90
  4. Step 4: Simplify right side
    719.71x = 402,116.08
  5. Step 5: Solve for x
    x = 402,116.08/719.71
  6. Step 6: Final answer
    x = 558.72

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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.