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Finding the Fourth Proportional to 302.95, 452.84 and 295.66

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Solution

The fourth proportional to 302.95, 452.84 and 295.66 is: 441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.95 : 452.84 = 295.66 : x
  2. Step 2: Convert to fraction form
    302.95/452.84 = 295.66/x
  3. Step 3: Cross multiply
    302.95x = 452.84 × 295.66
  4. Step 4: Simplify right side
    302.95x = 133,886.67
  5. Step 5: Solve for x
    x = 133,886.67/302.95
  6. Step 6: Final answer
    x = 441.94

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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.