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Finding the Fourth Proportional to 346.64, 516.35 and 328

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Solution

The fourth proportional to 346.64, 516.35 and 328 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 516.35 = 328 : x
  2. Step 2: Convert to fraction form
    346.64/516.35 = 328/x
  3. Step 3: Cross multiply
    346.64x = 516.35 × 328
  4. Step 4: Simplify right side
    346.64x = 169,362.80
  5. Step 5: Solve for x
    x = 169,362.80/346.64
  6. Step 6: Final answer
    x = 488.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.