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Finding the Fourth Proportional to 422.64, 632.35 and 258.15

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Solution

The fourth proportional to 422.64, 632.35 and 258.15 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 632.35 = 258.15 : x
  2. Step 2: Convert to fraction form
    422.64/632.35 = 258.15/x
  3. Step 3: Cross multiply
    422.64x = 632.35 × 258.15
  4. Step 4: Simplify right side
    422.64x = 163,240.51
  5. Step 5: Solve for x
    x = 163,240.51/422.64
  6. Step 6: Final answer
    x = 386.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.