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Finding the Fourth Proportional to 302.07, 450.51 and 295.98

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Solution

The fourth proportional to 302.07, 450.51 and 295.98 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.07 : 450.51 = 295.98 : x
  2. Step 2: Convert to fraction form
    302.07/450.51 = 295.98/x
  3. Step 3: Cross multiply
    302.07x = 450.51 × 295.98
  4. Step 4: Simplify right side
    302.07x = 133,341.95
  5. Step 5: Solve for x
    x = 133,341.95/302.07
  6. Step 6: Final answer
    x = 441.43

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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.