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Finding the Fourth Proportional to 483.06, 719.04 and 460.65

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Solution

The fourth proportional to 483.06, 719.04 and 460.65 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.06 : 719.04 = 460.65 : x
  2. Step 2: Convert to fraction form
    483.06/719.04 = 460.65/x
  3. Step 3: Cross multiply
    483.06x = 719.04 × 460.65
  4. Step 4: Simplify right side
    483.06x = 331,230.20
  5. Step 5: Solve for x
    x = 331,230.20/483.06
  6. Step 6: Final answer
    x = 685.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.