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Finding the Fourth Proportional to 345.18, 516.61 and 287.51

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Solution

The fourth proportional to 345.18, 516.61 and 287.51 is: 430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.18 : 516.61 = 287.51 : x
  2. Step 2: Convert to fraction form
    345.18/516.61 = 287.51/x
  3. Step 3: Cross multiply
    345.18x = 516.61 × 287.51
  4. Step 4: Simplify right side
    345.18x = 148,531.11
  5. Step 5: Solve for x
    x = 148,531.11/345.18
  6. Step 6: Final answer
    x = 430.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.