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Finding the Fourth Proportional to 529.93, 794.62 and 286.25

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Solution

The fourth proportional to 529.93, 794.62 and 286.25 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.93 : 794.62 = 286.25 : x
  2. Step 2: Convert to fraction form
    529.93/794.62 = 286.25/x
  3. Step 3: Cross multiply
    529.93x = 794.62 × 286.25
  4. Step 4: Simplify right side
    529.93x = 227,458.54
  5. Step 5: Solve for x
    x = 227,458.54/529.93
  6. Step 6: Final answer
    x = 429.23

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Why These Related Problems?

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