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Finding the Fourth Proportional to 319.23, 476.28 and 273.06

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Solution

The fourth proportional to 319.23, 476.28 and 273.06 is: 407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 476.28 = 273.06 : x
  2. Step 2: Convert to fraction form
    319.23/476.28 = 273.06/x
  3. Step 3: Cross multiply
    319.23x = 476.28 × 273.06
  4. Step 4: Simplify right side
    319.23x = 130,053.02
  5. Step 5: Solve for x
    x = 130,053.02/319.23
  6. Step 6: Final answer
    x = 407.40

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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.