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Finding the Fourth Proportional to 319.59, 477.05 and 274.23

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Solution

The fourth proportional to 319.59, 477.05 and 274.23 is: 409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 477.05 = 274.23 : x
  2. Step 2: Convert to fraction form
    319.59/477.05 = 274.23/x
  3. Step 3: Cross multiply
    319.59x = 477.05 × 274.23
  4. Step 4: Simplify right side
    319.59x = 130,818.26
  5. Step 5: Solve for x
    x = 130,818.26/319.59
  6. Step 6: Final answer
    x = 409.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.