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Finding the Fourth Proportional to 386.76, 577.58 and 365.70

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Solution

The fourth proportional to 386.76, 577.58 and 365.70 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 577.58 = 365.70 : x
  2. Step 2: Convert to fraction form
    386.76/577.58 = 365.70/x
  3. Step 3: Cross multiply
    386.76x = 577.58 × 365.70
  4. Step 4: Simplify right side
    386.76x = 211,221.92
  5. Step 5: Solve for x
    x = 211,221.92/386.76
  6. Step 6: Final answer
    x = 546.13

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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.