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Finding the Fourth Proportional to 566.91, 782.80 and 462.02

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Solution

The fourth proportional to 566.91, 782.80 and 462.02 is: 637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.91 : 782.80 = 462.02 : x
  2. Step 2: Convert to fraction form
    566.91/782.80 = 462.02/x
  3. Step 3: Cross multiply
    566.91x = 782.80 × 462.02
  4. Step 4: Simplify right side
    566.91x = 361,665.34
  5. Step 5: Solve for x
    x = 361,665.34/566.91
  6. Step 6: Final answer
    x = 637.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.