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Finding the Fourth Proportional to 369.16, 509.43 and 320.02

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Solution

The fourth proportional to 369.16, 509.43 and 320.02 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.16 : 509.43 = 320.02 : x
  2. Step 2: Convert to fraction form
    369.16/509.43 = 320.02/x
  3. Step 3: Cross multiply
    369.16x = 509.43 × 320.02
  4. Step 4: Simplify right side
    369.16x = 163,027.79
  5. Step 5: Solve for x
    x = 163,027.79/369.16
  6. Step 6: Final answer
    x = 441.62

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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.