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Finding the Fourth Proportional to 369.77, 554.04 and 289.17

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Solution

The fourth proportional to 369.77, 554.04 and 289.17 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.77 : 554.04 = 289.17 : x
  2. Step 2: Convert to fraction form
    369.77/554.04 = 289.17/x
  3. Step 3: Cross multiply
    369.77x = 554.04 × 289.17
  4. Step 4: Simplify right side
    369.77x = 160,211.75
  5. Step 5: Solve for x
    x = 160,211.75/369.77
  6. Step 6: Final answer
    x = 433.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.