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Finding the Fourth Proportional to 374, 516.30 and 352.40

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Solution

The fourth proportional to 374, 516.30 and 352.40 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 516.30 = 352.40 : x
  2. Step 2: Convert to fraction form
    374/516.30 = 352.40/x
  3. Step 3: Cross multiply
    374x = 516.30 × 352.40
  4. Step 4: Simplify right side
    374x = 181,944.12
  5. Step 5: Solve for x
    x = 181,944.12/374
  6. Step 6: Final answer
    x = 486.48

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Why These Related Problems?

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