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Finding the Fourth Proportional to 369.60, 509.75 and 270.02

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Solution

The fourth proportional to 369.60, 509.75 and 270.02 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 509.75 = 270.02 : x
  2. Step 2: Convert to fraction form
    369.60/509.75 = 270.02/x
  3. Step 3: Cross multiply
    369.60x = 509.75 × 270.02
  4. Step 4: Simplify right side
    369.60x = 137,638.80
  5. Step 5: Solve for x
    x = 137,638.80/369.60
  6. Step 6: Final answer
    x = 372.40

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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.