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Finding the Fourth Proportional to 974.16, 1,461.83 and 389.45

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Solution

The fourth proportional to 974.16, 1,461.83 and 389.45 is: 584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,461.83 = 389.45 : x
  2. Step 2: Convert to fraction form
    974.16/1,461.83 = 389.45/x
  3. Step 3: Cross multiply
    974.16x = 1,461.83 × 389.45
  4. Step 4: Simplify right side
    974.16x = 569,300.44
  5. Step 5: Solve for x
    x = 569,300.44/974.16
  6. Step 6: Final answer
    x = 584.40

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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.