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Finding the Fourth Proportional to 693.52, 957.36 and 460.24

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Solution

The fourth proportional to 693.52, 957.36 and 460.24 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.52 : 957.36 = 460.24 : x
  2. Step 2: Convert to fraction form
    693.52/957.36 = 460.24/x
  3. Step 3: Cross multiply
    693.52x = 957.36 × 460.24
  4. Step 4: Simplify right side
    693.52x = 440,615.37
  5. Step 5: Solve for x
    x = 440,615.37/693.52
  6. Step 6: Final answer
    x = 635.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.