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Finding the Fourth Proportional to 418.30, 577.35 and 285.46

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Solution

The fourth proportional to 418.30, 577.35 and 285.46 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 577.35 = 285.46 : x
  2. Step 2: Convert to fraction form
    418.30/577.35 = 285.46/x
  3. Step 3: Cross multiply
    418.30x = 577.35 × 285.46
  4. Step 4: Simplify right side
    418.30x = 164,807.44
  5. Step 5: Solve for x
    x = 164,807.44/418.30
  6. Step 6: Final answer
    x = 394.00

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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.