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Finding the Fourth Proportional to 974.93, 1,463.21 and 390.34

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Solution

The fourth proportional to 974.93, 1,463.21 and 390.34 is: 585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.93 : 1,463.21 = 390.34 : x
  2. Step 2: Convert to fraction form
    974.93/1,463.21 = 390.34/x
  3. Step 3: Cross multiply
    974.93x = 1,463.21 × 390.34
  4. Step 4: Simplify right side
    974.93x = 571,146.71
  5. Step 5: Solve for x
    x = 571,146.71/974.93
  6. Step 6: Final answer
    x = 585.84

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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.