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Finding the Fourth Proportional to 468.50, 646.38 and 369.94

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Solution

The fourth proportional to 468.50, 646.38 and 369.94 is: 510.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 646.38 = 369.94 : x
  2. Step 2: Convert to fraction form
    468.50/646.38 = 369.94/x
  3. Step 3: Cross multiply
    468.50x = 646.38 × 369.94
  4. Step 4: Simplify right side
    468.50x = 239,121.82
  5. Step 5: Solve for x
    x = 239,121.82/468.50
  6. Step 6: Final answer
    x = 510.40

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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.