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Finding the Fourth Proportional to 1,505.64, 2,258.46 and 410.11

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Solution

The fourth proportional to 1,505.64, 2,258.46 and 410.11 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.64 : 2,258.46 = 410.11 : x
  2. Step 2: Convert to fraction form
    1,505.64/2,258.46 = 410.11/x
  3. Step 3: Cross multiply
    1,505.64x = 2,258.46 × 410.11
  4. Step 4: Simplify right side
    1,505.64x = 926,217.03
  5. Step 5: Solve for x
    x = 926,217.03/1,505.64
  6. Step 6: Final answer
    x = 615.17

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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.