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Finding the Fourth Proportional to 368.68, 509.04 and 289.84

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Solution

The fourth proportional to 368.68, 509.04 and 289.84 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.68 : 509.04 = 289.84 : x
  2. Step 2: Convert to fraction form
    368.68/509.04 = 289.84/x
  3. Step 3: Cross multiply
    368.68x = 509.04 × 289.84
  4. Step 4: Simplify right side
    368.68x = 147,540.15
  5. Step 5: Solve for x
    x = 147,540.15/368.68
  6. Step 6: Final answer
    x = 400.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.