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Finding the Fourth Proportional to 387.14, 577.73 and 346.13

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Solution

The fourth proportional to 387.14, 577.73 and 346.13 is: 516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.14 : 577.73 = 346.13 : x
  2. Step 2: Convert to fraction form
    387.14/577.73 = 346.13/x
  3. Step 3: Cross multiply
    387.14x = 577.73 × 346.13
  4. Step 4: Simplify right side
    387.14x = 199,969.68
  5. Step 5: Solve for x
    x = 199,969.68/387.14
  6. Step 6: Final answer
    x = 516.53

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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.