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Finding the Fourth Proportional to 458.23, 632.37 and 259.07

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Solution

The fourth proportional to 458.23, 632.37 and 259.07 is: 357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.37 = 259.07 : x
  2. Step 2: Convert to fraction form
    458.23/632.37 = 259.07/x
  3. Step 3: Cross multiply
    458.23x = 632.37 × 259.07
  4. Step 4: Simplify right side
    458.23x = 163,824.93
  5. Step 5: Solve for x
    x = 163,824.93/458.23
  6. Step 6: Final answer
    x = 357.52

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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.