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Finding the Fourth Proportional to 305.84, 461.15 and 301.99

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Solution

The fourth proportional to 305.84, 461.15 and 301.99 is: 455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 461.15 = 301.99 : x
  2. Step 2: Convert to fraction form
    305.84/461.15 = 301.99/x
  3. Step 3: Cross multiply
    305.84x = 461.15 × 301.99
  4. Step 4: Simplify right side
    305.84x = 139,264.34
  5. Step 5: Solve for x
    x = 139,264.34/305.84
  6. Step 6: Final answer
    x = 455.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.