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Finding the Fourth Proportional to 368.79, 509.07 and 289.90

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Solution

The fourth proportional to 368.79, 509.07 and 289.90 is: 400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.79 : 509.07 = 289.90 : x
  2. Step 2: Convert to fraction form
    368.79/509.07 = 289.90/x
  3. Step 3: Cross multiply
    368.79x = 509.07 × 289.90
  4. Step 4: Simplify right side
    368.79x = 147,579.39
  5. Step 5: Solve for x
    x = 147,579.39/368.79
  6. Step 6: Final answer
    x = 400.17

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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.