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Finding the Fourth Proportional to 293.42, 403.85 and 210.40

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Solution

The fourth proportional to 293.42, 403.85 and 210.40 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 403.85 = 210.40 : x
  2. Step 2: Convert to fraction form
    293.42/403.85 = 210.40/x
  3. Step 3: Cross multiply
    293.42x = 403.85 × 210.40
  4. Step 4: Simplify right side
    293.42x = 84,969.56
  5. Step 5: Solve for x
    x = 84,969.56/293.42
  6. Step 6: Final answer
    x = 289.58

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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.