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Finding the Fourth Proportional to 514.60, 709.86 and 328.02

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Solution

The fourth proportional to 514.60, 709.86 and 328.02 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 709.86 = 328.02 : x
  2. Step 2: Convert to fraction form
    514.60/709.86 = 328.02/x
  3. Step 3: Cross multiply
    514.60x = 709.86 × 328.02
  4. Step 4: Simplify right side
    514.60x = 232,848.28
  5. Step 5: Solve for x
    x = 232,848.28/514.60
  6. Step 6: Final answer
    x = 452.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.