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Finding the Fourth Proportional to 386.46, 577.17 and 345.15

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Solution

The fourth proportional to 386.46, 577.17 and 345.15 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 577.17 = 345.15 : x
  2. Step 2: Convert to fraction form
    386.46/577.17 = 345.15/x
  3. Step 3: Cross multiply
    386.46x = 577.17 × 345.15
  4. Step 4: Simplify right side
    386.46x = 199,210.23
  5. Step 5: Solve for x
    x = 199,210.23/386.46
  6. Step 6: Final answer
    x = 515.47

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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.