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Finding the Fourth Proportional to 458.63, 632.89 and 259.47

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Solution

The fourth proportional to 458.63, 632.89 and 259.47 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 632.89 = 259.47 : x
  2. Step 2: Convert to fraction form
    458.63/632.89 = 259.47/x
  3. Step 3: Cross multiply
    458.63x = 632.89 × 259.47
  4. Step 4: Simplify right side
    458.63x = 164,216.29
  5. Step 5: Solve for x
    x = 164,216.29/458.63
  6. Step 6: Final answer
    x = 358.06

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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.