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Finding the Fourth Proportional to 973.26, 1,460.56 and 396.14

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Solution

The fourth proportional to 973.26, 1,460.56 and 396.14 is: 594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.26 : 1,460.56 = 396.14 : x
  2. Step 2: Convert to fraction form
    973.26/1,460.56 = 396.14/x
  3. Step 3: Cross multiply
    973.26x = 1,460.56 × 396.14
  4. Step 4: Simplify right side
    973.26x = 578,586.24
  5. Step 5: Solve for x
    x = 578,586.24/973.26
  6. Step 6: Final answer
    x = 594.48

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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.