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Finding the Fourth Proportional to 368.09, 507.89 and 289.42

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Solution

The fourth proportional to 368.09, 507.89 and 289.42 is: 399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.09 : 507.89 = 289.42 : x
  2. Step 2: Convert to fraction form
    368.09/507.89 = 289.42/x
  3. Step 3: Cross multiply
    368.09x = 507.89 × 289.42
  4. Step 4: Simplify right side
    368.09x = 146,994.21
  5. Step 5: Solve for x
    x = 146,994.21/368.09
  6. Step 6: Final answer
    x = 399.34

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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.