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Finding the Fourth Proportional to 345.58, 520.75 and 286.05

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Solution

The fourth proportional to 345.58, 520.75 and 286.05 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 520.75 = 286.05 : x
  2. Step 2: Convert to fraction form
    345.58/520.75 = 286.05/x
  3. Step 3: Cross multiply
    345.58x = 520.75 × 286.05
  4. Step 4: Simplify right side
    345.58x = 148,960.54
  5. Step 5: Solve for x
    x = 148,960.54/345.58
  6. Step 6: Final answer
    x = 431.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.