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Finding the Fourth Proportional to 356.10, 532.89 and 301.12

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Solution

The fourth proportional to 356.10, 532.89 and 301.12 is: 450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 532.89 = 301.12 : x
  2. Step 2: Convert to fraction form
    356.10/532.89 = 301.12/x
  3. Step 3: Cross multiply
    356.10x = 532.89 × 301.12
  4. Step 4: Simplify right side
    356.10x = 160,463.84
  5. Step 5: Solve for x
    x = 160,463.84/356.10
  6. Step 6: Final answer
    x = 450.61

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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.