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Finding the Fourth Proportional to 345.39, 515.71 and 284.64

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Solution

The fourth proportional to 345.39, 515.71 and 284.64 is: 425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.39 : 515.71 = 284.64 : x
  2. Step 2: Convert to fraction form
    345.39/515.71 = 284.64/x
  3. Step 3: Cross multiply
    345.39x = 515.71 × 284.64
  4. Step 4: Simplify right side
    345.39x = 146,791.69
  5. Step 5: Solve for x
    x = 146,791.69/345.39
  6. Step 6: Final answer
    x = 425.00

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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.