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Finding the Fourth Proportional to 369.79, 510.32 and 204.01

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Solution

The fourth proportional to 369.79, 510.32 and 204.01 is: 281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.79 : 510.32 = 204.01 : x
  2. Step 2: Convert to fraction form
    369.79/510.32 = 204.01/x
  3. Step 3: Cross multiply
    369.79x = 510.32 × 204.01
  4. Step 4: Simplify right side
    369.79x = 104,109.36
  5. Step 5: Solve for x
    x = 104,109.36/369.79
  6. Step 6: Final answer
    x = 281.54

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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.