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Finding the Fourth Proportional to 369.85, 510.50 and 212.58

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Solution

The fourth proportional to 369.85, 510.50 and 212.58 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.85 : 510.50 = 212.58 : x
  2. Step 2: Convert to fraction form
    369.85/510.50 = 212.58/x
  3. Step 3: Cross multiply
    369.85x = 510.50 × 212.58
  4. Step 4: Simplify right side
    369.85x = 108,518.47
  5. Step 5: Solve for x
    x = 108,518.47/369.85
  6. Step 6: Final answer
    x = 293.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.