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Finding the Fourth Proportional to 946.16, 1,418.40 and 368.63

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Solution

The fourth proportional to 946.16, 1,418.40 and 368.63 is: 552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.16 : 1,418.40 = 368.63 : x
  2. Step 2: Convert to fraction form
    946.16/1,418.40 = 368.63/x
  3. Step 3: Cross multiply
    946.16x = 1,418.40 × 368.63
  4. Step 4: Simplify right side
    946.16x = 522,857.70
  5. Step 5: Solve for x
    x = 522,857.70/946.16
  6. Step 6: Final answer
    x = 552.61

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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.