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Finding the Fourth Proportional to 719.68, 993 and 458.08

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Solution

The fourth proportional to 719.68, 993 and 458.08 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 993 = 458.08 : x
  2. Step 2: Convert to fraction form
    719.68/993 = 458.08/x
  3. Step 3: Cross multiply
    719.68x = 993 × 458.08
  4. Step 4: Simplify right side
    719.68x = 454,873.44
  5. Step 5: Solve for x
    x = 454,873.44/719.68
  6. Step 6: Final answer
    x = 632.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.