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Finding the Fourth Proportional to 418.94, 577.83 and 302.54

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Solution

The fourth proportional to 418.94, 577.83 and 302.54 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 577.83 = 302.54 : x
  2. Step 2: Convert to fraction form
    418.94/577.83 = 302.54/x
  3. Step 3: Cross multiply
    418.94x = 577.83 × 302.54
  4. Step 4: Simplify right side
    418.94x = 174,816.69
  5. Step 5: Solve for x
    x = 174,816.69/418.94
  6. Step 6: Final answer
    x = 417.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.