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Finding the Fourth Proportional to 302.55, 451.56 and 295.26

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Solution

The fourth proportional to 302.55, 451.56 and 295.26 is: 440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.55 : 451.56 = 295.26 : x
  2. Step 2: Convert to fraction form
    302.55/451.56 = 295.26/x
  3. Step 3: Cross multiply
    302.55x = 451.56 × 295.26
  4. Step 4: Simplify right side
    302.55x = 133,327.61
  5. Step 5: Solve for x
    x = 133,327.61/302.55
  6. Step 6: Final answer
    x = 440.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.