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Finding the Fourth Proportional to 1,535.67, 2,303.58 and 440.20

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Solution

The fourth proportional to 1,535.67, 2,303.58 and 440.20 is: 660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.67 : 2,303.58 = 440.20 : x
  2. Step 2: Convert to fraction form
    1,535.67/2,303.58 = 440.20/x
  3. Step 3: Cross multiply
    1,535.67x = 2,303.58 × 440.20
  4. Step 4: Simplify right side
    1,535.67x = 1,014,040.45
  5. Step 5: Solve for x
    x = 1,014,040.45/1,535.67
  6. Step 6: Final answer
    x = 660.32

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