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Finding the Fourth Proportional to 566.58, 781.72 and 345.63

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Solution

The fourth proportional to 566.58, 781.72 and 345.63 is: 476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.58 : 781.72 = 345.63 : x
  2. Step 2: Convert to fraction form
    566.58/781.72 = 345.63/x
  3. Step 3: Cross multiply
    566.58x = 781.72 × 345.63
  4. Step 4: Simplify right side
    566.58x = 270,185.88
  5. Step 5: Solve for x
    x = 270,185.88/566.58
  6. Step 6: Final answer
    x = 476.87

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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.