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Finding the Fourth Proportional to 974.00, 1,460.88 and 357.54

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Solution

The fourth proportional to 974.00, 1,460.88 and 357.54 is: 536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.00 : 1,460.88 = 357.54 : x
  2. Step 2: Convert to fraction form
    974.00/1,460.88 = 357.54/x
  3. Step 3: Cross multiply
    974.00x = 1,460.88 × 357.54
  4. Step 4: Simplify right side
    974.00x = 522,323.04
  5. Step 5: Solve for x
    x = 522,323.04/974.00
  6. Step 6: Final answer
    x = 536.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.