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Finding the Fourth Proportional to 386.70, 582.75 and 348.23

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Solution

The fourth proportional to 386.70, 582.75 and 348.23 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.70 : 582.75 = 348.23 : x
  2. Step 2: Convert to fraction form
    386.70/582.75 = 348.23/x
  3. Step 3: Cross multiply
    386.70x = 582.75 × 348.23
  4. Step 4: Simplify right side
    386.70x = 202,928.12
  5. Step 5: Solve for x
    x = 202,928.12/386.70
  6. Step 6: Final answer
    x = 524.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.