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Finding the Fourth Proportional to 345.39, 516.19 and 253.04

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Solution

The fourth proportional to 345.39, 516.19 and 253.04 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.39 : 516.19 = 253.04 : x
  2. Step 2: Convert to fraction form
    345.39/516.19 = 253.04/x
  3. Step 3: Cross multiply
    345.39x = 516.19 × 253.04
  4. Step 4: Simplify right side
    345.39x = 130,616.72
  5. Step 5: Solve for x
    x = 130,616.72/345.39
  6. Step 6: Final answer
    x = 378.17

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Why These Related Problems?

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