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Finding the Fourth Proportional to 458.37, 632.53 and 259.23

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Solution

The fourth proportional to 458.37, 632.53 and 259.23 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.37 : 632.53 = 259.23 : x
  2. Step 2: Convert to fraction form
    458.37/632.53 = 259.23/x
  3. Step 3: Cross multiply
    458.37x = 632.53 × 259.23
  4. Step 4: Simplify right side
    458.37x = 163,971.08
  5. Step 5: Solve for x
    x = 163,971.08/458.37
  6. Step 6: Final answer
    x = 357.72

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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.