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Finding the Fourth Proportional to 761.04, 1,141.44 and 328.08

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Solution

The fourth proportional to 761.04, 1,141.44 and 328.08 is: 492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,141.44 = 328.08 : x
  2. Step 2: Convert to fraction form
    761.04/1,141.44 = 328.08/x
  3. Step 3: Cross multiply
    761.04x = 1,141.44 × 328.08
  4. Step 4: Simplify right side
    761.04x = 374,483.64
  5. Step 5: Solve for x
    x = 374,483.64/761.04
  6. Step 6: Final answer
    x = 492.07

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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.