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Finding the Fourth Proportional to 566.65, 782.63 and 451.63

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Solution

The fourth proportional to 566.65, 782.63 and 451.63 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 782.63 = 451.63 : x
  2. Step 2: Convert to fraction form
    566.65/782.63 = 451.63/x
  3. Step 3: Cross multiply
    566.65x = 782.63 × 451.63
  4. Step 4: Simplify right side
    566.65x = 353,456.93
  5. Step 5: Solve for x
    x = 353,456.93/566.65
  6. Step 6: Final answer
    x = 623.77

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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.