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Finding the Fourth Proportional to 295.40, 406.28 and 258.58

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Solution

The fourth proportional to 295.40, 406.28 and 258.58 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.40 : 406.28 = 258.58 : x
  2. Step 2: Convert to fraction form
    295.40/406.28 = 258.58/x
  3. Step 3: Cross multiply
    295.40x = 406.28 × 258.58
  4. Step 4: Simplify right side
    295.40x = 105,055.88
  5. Step 5: Solve for x
    x = 105,055.88/295.40
  6. Step 6: Final answer
    x = 355.64

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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.