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Finding the Fourth Proportional to 1,505.82, 2,258.70 and 410.28

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Solution

The fourth proportional to 1,505.82, 2,258.70 and 410.28 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.82 : 2,258.70 = 410.28 : x
  2. Step 2: Convert to fraction form
    1,505.82/2,258.70 = 410.28/x
  3. Step 3: Cross multiply
    1,505.82x = 2,258.70 × 410.28
  4. Step 4: Simplify right side
    1,505.82x = 926,699.44
  5. Step 5: Solve for x
    x = 926,699.44/1,505.82
  6. Step 6: Final answer
    x = 615.41

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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.