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Finding the Fourth Proportional to 369.60, 509.56 and 299.40

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Solution

The fourth proportional to 369.60, 509.56 and 299.40 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 509.56 = 299.40 : x
  2. Step 2: Convert to fraction form
    369.60/509.56 = 299.40/x
  3. Step 3: Cross multiply
    369.60x = 509.56 × 299.40
  4. Step 4: Simplify right side
    369.60x = 152,562.26
  5. Step 5: Solve for x
    x = 152,562.26/369.60
  6. Step 6: Final answer
    x = 412.78

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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.