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Finding the Fourth Proportional to 869.02, 1,303.59 and 276.17

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Solution

The fourth proportional to 869.02, 1,303.59 and 276.17 is: 414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.02 : 1,303.59 = 276.17 : x
  2. Step 2: Convert to fraction form
    869.02/1,303.59 = 276.17/x
  3. Step 3: Cross multiply
    869.02x = 1,303.59 × 276.17
  4. Step 4: Simplify right side
    869.02x = 360,011.07
  5. Step 5: Solve for x
    x = 360,011.07/869.02
  6. Step 6: Final answer
    x = 414.27

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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.