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Finding the Fourth Proportional to 369.57, 509.70 and 314.49

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Solution

The fourth proportional to 369.57, 509.70 and 314.49 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.57 : 509.70 = 314.49 : x
  2. Step 2: Convert to fraction form
    369.57/509.70 = 314.49/x
  3. Step 3: Cross multiply
    369.57x = 509.70 × 314.49
  4. Step 4: Simplify right side
    369.57x = 160,295.55
  5. Step 5: Solve for x
    x = 160,295.55/369.57
  6. Step 6: Final answer
    x = 433.74

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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.