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Finding the Fourth Proportional to 369.78, 510.54 and 230.11

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Solution

The fourth proportional to 369.78, 510.54 and 230.11 is: 317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 510.54 = 230.11 : x
  2. Step 2: Convert to fraction form
    369.78/510.54 = 230.11/x
  3. Step 3: Cross multiply
    369.78x = 510.54 × 230.11
  4. Step 4: Simplify right side
    369.78x = 117,480.36
  5. Step 5: Solve for x
    x = 117,480.36/369.78
  6. Step 6: Final answer
    x = 317.70

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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.