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Finding the Fourth Proportional to 974.15, 1,460.83 and 357.68

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Solution

The fourth proportional to 974.15, 1,460.83 and 357.68 is: 536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.15 : 1,460.83 = 357.68 : x
  2. Step 2: Convert to fraction form
    974.15/1,460.83 = 357.68/x
  3. Step 3: Cross multiply
    974.15x = 1,460.83 × 357.68
  4. Step 4: Simplify right side
    974.15x = 522,509.67
  5. Step 5: Solve for x
    x = 522,509.67/974.15
  6. Step 6: Final answer
    x = 536.37

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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.