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Finding the Fourth Proportional to 916.20, 1,375.29 and 368.76

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Solution

The fourth proportional to 916.20, 1,375.29 and 368.76 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.20 : 1,375.29 = 368.76 : x
  2. Step 2: Convert to fraction form
    916.20/1,375.29 = 368.76/x
  3. Step 3: Cross multiply
    916.20x = 1,375.29 × 368.76
  4. Step 4: Simplify right side
    916.20x = 507,151.94
  5. Step 5: Solve for x
    x = 507,151.94/916.20
  6. Step 6: Final answer
    x = 553.54

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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.