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Finding the Fourth Proportional to 442.35, 610.11 and 285.00

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Solution

The fourth proportional to 442.35, 610.11 and 285.00 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.35 : 610.11 = 285.00 : x
  2. Step 2: Convert to fraction form
    442.35/610.11 = 285.00/x
  3. Step 3: Cross multiply
    442.35x = 610.11 × 285.00
  4. Step 4: Simplify right side
    442.35x = 173,878.40
  5. Step 5: Solve for x
    x = 173,878.40/442.35
  6. Step 6: Final answer
    x = 393.08

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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.