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Finding the Fourth Proportional to 566.68, 782.06 and 330.64

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Solution

The fourth proportional to 566.68, 782.06 and 330.64 is: 456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.68 : 782.06 = 330.64 : x
  2. Step 2: Convert to fraction form
    566.68/782.06 = 330.64/x
  3. Step 3: Cross multiply
    566.68x = 782.06 × 330.64
  4. Step 4: Simplify right side
    566.68x = 258,580.32
  5. Step 5: Solve for x
    x = 258,580.32/566.68
  6. Step 6: Final answer
    x = 456.31

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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.