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Finding the Fourth Proportional to 974.37, 1,461.55 and 357.84

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Solution

The fourth proportional to 974.37, 1,461.55 and 357.84 is: 536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.37 : 1,461.55 = 357.84 : x
  2. Step 2: Convert to fraction form
    974.37/1,461.55 = 357.84/x
  3. Step 3: Cross multiply
    974.37x = 1,461.55 × 357.84
  4. Step 4: Simplify right side
    974.37x = 523,000.16
  5. Step 5: Solve for x
    x = 523,000.16/974.37
  6. Step 6: Final answer
    x = 536.76

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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.