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Finding the Fourth Proportional to 375.81, 563.86 and 302.60

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Solution

The fourth proportional to 375.81, 563.86 and 302.60 is: 454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.81 : 563.86 = 302.60 : x
  2. Step 2: Convert to fraction form
    375.81/563.86 = 302.60/x
  3. Step 3: Cross multiply
    375.81x = 563.86 × 302.60
  4. Step 4: Simplify right side
    375.81x = 170,625.82
  5. Step 5: Solve for x
    x = 170,625.82/375.81
  6. Step 6: Final answer
    x = 454.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.