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Finding the Fourth Proportional to 383.40, 577.80 and 361.80

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Solution

The fourth proportional to 383.40, 577.80 and 361.80 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 577.80 = 361.80 : x
  2. Step 2: Convert to fraction form
    383.40/577.80 = 361.80/x
  3. Step 3: Cross multiply
    383.40x = 577.80 × 361.80
  4. Step 4: Simplify right side
    383.40x = 209,048.04
  5. Step 5: Solve for x
    x = 209,048.04/383.40
  6. Step 6: Final answer
    x = 545.25

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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.