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Finding the Fourth Proportional to 916.95, 1,375.41 and 429.66

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Solution

The fourth proportional to 916.95, 1,375.41 and 429.66 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,375.41 = 429.66 : x
  2. Step 2: Convert to fraction form
    916.95/1,375.41 = 429.66/x
  3. Step 3: Cross multiply
    916.95x = 1,375.41 × 429.66
  4. Step 4: Simplify right side
    916.95x = 590,958.66
  5. Step 5: Solve for x
    x = 590,958.66/916.95
  6. Step 6: Final answer
    x = 644.48

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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.