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Finding the Fourth Proportional to 304.02, 419.18 and 210.84

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Solution

The fourth proportional to 304.02, 419.18 and 210.84 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 419.18 = 210.84 : x
  2. Step 2: Convert to fraction form
    304.02/419.18 = 210.84/x
  3. Step 3: Cross multiply
    304.02x = 419.18 × 210.84
  4. Step 4: Simplify right side
    304.02x = 88,378.86
  5. Step 5: Solve for x
    x = 88,378.86/304.02
  6. Step 6: Final answer
    x = 290.70

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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.