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Finding the Fourth Proportional to 760.46, 1,140.72 and 327.32

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Solution

The fourth proportional to 760.46, 1,140.72 and 327.32 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.46 : 1,140.72 = 327.32 : x
  2. Step 2: Convert to fraction form
    760.46/1,140.72 = 327.32/x
  3. Step 3: Cross multiply
    760.46x = 1,140.72 × 327.32
  4. Step 4: Simplify right side
    760.46x = 373,380.47
  5. Step 5: Solve for x
    x = 373,380.47/760.46
  6. Step 6: Final answer
    x = 490.99

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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.