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Finding the Fourth Proportional to 498.66, 687.83 and 400.65

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Solution

The fourth proportional to 498.66, 687.83 and 400.65 is: 552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 687.83 = 400.65 : x
  2. Step 2: Convert to fraction form
    498.66/687.83 = 400.65/x
  3. Step 3: Cross multiply
    498.66x = 687.83 × 400.65
  4. Step 4: Simplify right side
    498.66x = 275,574.51
  5. Step 5: Solve for x
    x = 275,574.51/498.66
  6. Step 6: Final answer
    x = 552.63

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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.