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Finding the Fourth Proportional to 302.35, 452.80 and 295.06

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Solution

The fourth proportional to 302.35, 452.80 and 295.06 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.35 : 452.80 = 295.06 : x
  2. Step 2: Convert to fraction form
    302.35/452.80 = 295.06/x
  3. Step 3: Cross multiply
    302.35x = 452.80 × 295.06
  4. Step 4: Simplify right side
    302.35x = 133,603.17
  5. Step 5: Solve for x
    x = 133,603.17/302.35
  6. Step 6: Final answer
    x = 441.88

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