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Finding the Fourth Proportional to 319.88, 477 and 274.52

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Solution

The fourth proportional to 319.88, 477 and 274.52 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 477 = 274.52 : x
  2. Step 2: Convert to fraction form
    319.88/477 = 274.52/x
  3. Step 3: Cross multiply
    319.88x = 477 × 274.52
  4. Step 4: Simplify right side
    319.88x = 130,946.04
  5. Step 5: Solve for x
    x = 130,946.04/319.88
  6. Step 6: Final answer
    x = 409.36

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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.