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Finding the Fourth Proportional to 764.64, 1,146.16 and 332

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Solution

The fourth proportional to 764.64, 1,146.16 and 332 is: 497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,146.16 = 332 : x
  2. Step 2: Convert to fraction form
    764.64/1,146.16 = 332/x
  3. Step 3: Cross multiply
    764.64x = 1,146.16 × 332
  4. Step 4: Simplify right side
    764.64x = 380,525.12
  5. Step 5: Solve for x
    x = 380,525.12/764.64
  6. Step 6: Final answer
    x = 497.65

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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.