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Finding the Fourth Proportional to 368.40, 509.04 and 275.52

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Solution

The fourth proportional to 368.40, 509.04 and 275.52 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 509.04 = 275.52 : x
  2. Step 2: Convert to fraction form
    368.40/509.04 = 275.52/x
  3. Step 3: Cross multiply
    368.40x = 509.04 × 275.52
  4. Step 4: Simplify right side
    368.40x = 140,250.70
  5. Step 5: Solve for x
    x = 140,250.70/368.40
  6. Step 6: Final answer
    x = 380.70

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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.