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Finding the Fourth Proportional to 369.40, 509.70 and 212.02

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Solution

The fourth proportional to 369.40, 509.70 and 212.02 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.40 : 509.70 = 212.02 : x
  2. Step 2: Convert to fraction form
    369.40/509.70 = 212.02/x
  3. Step 3: Cross multiply
    369.40x = 509.70 × 212.02
  4. Step 4: Simplify right side
    369.40x = 108,066.59
  5. Step 5: Solve for x
    x = 108,066.59/369.40
  6. Step 6: Final answer
    x = 292.55

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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.