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Finding the Fourth Proportional to 393.50, 587.58 and 342.26

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Solution

The fourth proportional to 393.50, 587.58 and 342.26 is: 511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 587.58 = 342.26 : x
  2. Step 2: Convert to fraction form
    393.50/587.58 = 342.26/x
  3. Step 3: Cross multiply
    393.50x = 587.58 × 342.26
  4. Step 4: Simplify right side
    393.50x = 201,102.19
  5. Step 5: Solve for x
    x = 201,102.19/393.50
  6. Step 6: Final answer
    x = 511.07

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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.