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Finding the Fourth Proportional to 301.59, 415.35 and 285.95

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Solution

The fourth proportional to 301.59, 415.35 and 285.95 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 415.35 = 285.95 : x
  2. Step 2: Convert to fraction form
    301.59/415.35 = 285.95/x
  3. Step 3: Cross multiply
    301.59x = 415.35 × 285.95
  4. Step 4: Simplify right side
    301.59x = 118,767.26
  5. Step 5: Solve for x
    x = 118,767.26/301.59
  6. Step 6: Final answer
    x = 393.80

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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.