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Finding the Fourth Proportional to 458.26, 632.40 and 259.10

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Solution

The fourth proportional to 458.26, 632.40 and 259.10 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.26 : 632.40 = 259.10 : x
  2. Step 2: Convert to fraction form
    458.26/632.40 = 259.10/x
  3. Step 3: Cross multiply
    458.26x = 632.40 × 259.10
  4. Step 4: Simplify right side
    458.26x = 163,854.84
  5. Step 5: Solve for x
    x = 163,854.84/458.26
  6. Step 6: Final answer
    x = 357.56

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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.