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Finding the Fourth Proportional to 369.76, 509.70 and 304.15

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Solution

The fourth proportional to 369.76, 509.70 and 304.15 is: 419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 509.70 = 304.15 : x
  2. Step 2: Convert to fraction form
    369.76/509.70 = 304.15/x
  3. Step 3: Cross multiply
    369.76x = 509.70 × 304.15
  4. Step 4: Simplify right side
    369.76x = 155,023.98
  5. Step 5: Solve for x
    x = 155,023.98/369.76
  6. Step 6: Final answer
    x = 419.26

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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.