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Finding the Fourth Proportional to 332.69, 458.78 and 259.07

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Solution

The fourth proportional to 332.69, 458.78 and 259.07 is: 357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 458.78 = 259.07 : x
  2. Step 2: Convert to fraction form
    332.69/458.78 = 259.07/x
  3. Step 3: Cross multiply
    332.69x = 458.78 × 259.07
  4. Step 4: Simplify right side
    332.69x = 118,852.55
  5. Step 5: Solve for x
    x = 118,852.55/332.69
  6. Step 6: Final answer
    x = 357.25

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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.