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Finding the Fourth Proportional to 302.46, 450.85 and 282.98

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Solution

The fourth proportional to 302.46, 450.85 and 282.98 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 450.85 = 282.98 : x
  2. Step 2: Convert to fraction form
    302.46/450.85 = 282.98/x
  3. Step 3: Cross multiply
    302.46x = 450.85 × 282.98
  4. Step 4: Simplify right side
    302.46x = 127,583.04
  5. Step 5: Solve for x
    x = 127,583.04/302.46
  6. Step 6: Final answer
    x = 421.82

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