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Finding the Fourth Proportional to 386.12, 581.48 and 348.05

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Solution

The fourth proportional to 386.12, 581.48 and 348.05 is: 524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 581.48 = 348.05 : x
  2. Step 2: Convert to fraction form
    386.12/581.48 = 348.05/x
  3. Step 3: Cross multiply
    386.12x = 581.48 × 348.05
  4. Step 4: Simplify right side
    386.12x = 202,382.37
  5. Step 5: Solve for x
    x = 202,382.37/386.12
  6. Step 6: Final answer
    x = 524.14

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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.