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Finding the Fourth Proportional to 566.93, 782.40 and 330.90

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Solution

The fourth proportional to 566.93, 782.40 and 330.90 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 782.40 = 330.90 : x
  2. Step 2: Convert to fraction form
    566.93/782.40 = 330.90/x
  3. Step 3: Cross multiply
    566.93x = 782.40 × 330.90
  4. Step 4: Simplify right side
    566.93x = 258,896.16
  5. Step 5: Solve for x
    x = 258,896.16/566.93
  6. Step 6: Final answer
    x = 456.66

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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.