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Finding the Fourth Proportional to 314.93, 433.41 and 259.45

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Solution

The fourth proportional to 314.93, 433.41 and 259.45 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.93 : 433.41 = 259.45 : x
  2. Step 2: Convert to fraction form
    314.93/433.41 = 259.45/x
  3. Step 3: Cross multiply
    314.93x = 433.41 × 259.45
  4. Step 4: Simplify right side
    314.93x = 112,448.22
  5. Step 5: Solve for x
    x = 112,448.22/314.93
  6. Step 6: Final answer
    x = 357.06

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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.