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Finding the Fourth Proportional to 1,505.71, 2,258.56 and 410.24

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Solution

The fourth proportional to 1,505.71, 2,258.56 and 410.24 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.71 : 2,258.56 = 410.24 : x
  2. Step 2: Convert to fraction form
    1,505.71/2,258.56 = 410.24/x
  3. Step 3: Cross multiply
    1,505.71x = 2,258.56 × 410.24
  4. Step 4: Simplify right side
    1,505.71x = 926,540.36
  5. Step 5: Solve for x
    x = 926,540.36/1,505.71
  6. Step 6: Final answer
    x = 615.35

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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.