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Finding the Fourth Proportional to 345.60, 516.15 and 300.06

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Solution

The fourth proportional to 345.60, 516.15 and 300.06 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 516.15 = 300.06 : x
  2. Step 2: Convert to fraction form
    345.60/516.15 = 300.06/x
  3. Step 3: Cross multiply
    345.60x = 516.15 × 300.06
  4. Step 4: Simplify right side
    345.60x = 154,875.97
  5. Step 5: Solve for x
    x = 154,875.97/345.60
  6. Step 6: Final answer
    x = 448.14

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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.