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Finding the Fourth Proportional to 473.20, 652.65 and 286.63

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Solution

The fourth proportional to 473.20, 652.65 and 286.63 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.20 : 652.65 = 286.63 : x
  2. Step 2: Convert to fraction form
    473.20/652.65 = 286.63/x
  3. Step 3: Cross multiply
    473.20x = 652.65 × 286.63
  4. Step 4: Simplify right side
    473.20x = 187,069.07
  5. Step 5: Solve for x
    x = 187,069.07/473.20
  6. Step 6: Final answer
    x = 395.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.