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Finding the Fourth Proportional to 314.36, 469.81 and 232.52

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Solution

The fourth proportional to 314.36, 469.81 and 232.52 is: 347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.36 : 469.81 = 232.52 : x
  2. Step 2: Convert to fraction form
    314.36/469.81 = 232.52/x
  3. Step 3: Cross multiply
    314.36x = 469.81 × 232.52
  4. Step 4: Simplify right side
    314.36x = 109,240.22
  5. Step 5: Solve for x
    x = 109,240.22/314.36
  6. Step 6: Final answer
    x = 347.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.