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Finding the Fourth Proportional to 974.21, 1,461.32 and 357.65

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Solution

The fourth proportional to 974.21, 1,461.32 and 357.65 is: 536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.21 : 1,461.32 = 357.65 : x
  2. Step 2: Convert to fraction form
    974.21/1,461.32 = 357.65/x
  3. Step 3: Cross multiply
    974.21x = 1,461.32 × 357.65
  4. Step 4: Simplify right side
    974.21x = 522,637.82
  5. Step 5: Solve for x
    x = 522,637.82/974.21
  6. Step 6: Final answer
    x = 536.47

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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.