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Finding the Fourth Proportional to 369.39, 510.49 and 302.90

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Solution

The fourth proportional to 369.39, 510.49 and 302.90 is: 418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.39 : 510.49 = 302.90 : x
  2. Step 2: Convert to fraction form
    369.39/510.49 = 302.90/x
  3. Step 3: Cross multiply
    369.39x = 510.49 × 302.90
  4. Step 4: Simplify right side
    369.39x = 154,623.35
  5. Step 5: Solve for x
    x = 154,623.35/369.39
  6. Step 6: Final answer
    x = 418.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.