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Finding the Fourth Proportional to 313.24, 432.48 and 257.36

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Solution

The fourth proportional to 313.24, 432.48 and 257.36 is: 355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 432.48 = 257.36 : x
  2. Step 2: Convert to fraction form
    313.24/432.48 = 257.36/x
  3. Step 3: Cross multiply
    313.24x = 432.48 × 257.36
  4. Step 4: Simplify right side
    313.24x = 111,303.05
  5. Step 5: Solve for x
    x = 111,303.05/313.24
  6. Step 6: Final answer
    x = 355.33

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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.