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Finding the Fourth Proportional to 340.51, 468.84 and 298.81

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Solution

The fourth proportional to 340.51, 468.84 and 298.81 is: 411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.51 : 468.84 = 298.81 : x
  2. Step 2: Convert to fraction form
    340.51/468.84 = 298.81/x
  3. Step 3: Cross multiply
    340.51x = 468.84 × 298.81
  4. Step 4: Simplify right side
    340.51x = 140,094.08
  5. Step 5: Solve for x
    x = 140,094.08/340.51
  6. Step 6: Final answer
    x = 411.42

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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.