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Finding the Fourth Proportional to 566.51, 781.79 and 333.63

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Solution

The fourth proportional to 566.51, 781.79 and 333.63 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.51 : 781.79 = 333.63 : x
  2. Step 2: Convert to fraction form
    566.51/781.79 = 333.63/x
  3. Step 3: Cross multiply
    566.51x = 781.79 × 333.63
  4. Step 4: Simplify right side
    566.51x = 260,826.93
  5. Step 5: Solve for x
    x = 260,826.93/566.51
  6. Step 6: Final answer
    x = 460.41

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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.