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Finding the Fourth Proportional to 369.85, 510.64 and 220.52

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Solution

The fourth proportional to 369.85, 510.64 and 220.52 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.85 : 510.64 = 220.52 : x
  2. Step 2: Convert to fraction form
    369.85/510.64 = 220.52/x
  3. Step 3: Cross multiply
    369.85x = 510.64 × 220.52
  4. Step 4: Simplify right side
    369.85x = 112,607.99
  5. Step 5: Solve for x
    x = 112,607.99/369.85
  6. Step 6: Final answer
    x = 304.47

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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.