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Finding the Fourth Proportional to 393.50, 542.79 and 316.06

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Solution

The fourth proportional to 393.50, 542.79 and 316.06 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 542.79 = 316.06 : x
  2. Step 2: Convert to fraction form
    393.50/542.79 = 316.06/x
  3. Step 3: Cross multiply
    393.50x = 542.79 × 316.06
  4. Step 4: Simplify right side
    393.50x = 171,554.21
  5. Step 5: Solve for x
    x = 171,554.21/393.50
  6. Step 6: Final answer
    x = 435.97

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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.