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Finding the Fourth Proportional to 565.79, 782.33 and 492.89

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Solution

The fourth proportional to 565.79, 782.33 and 492.89 is: 681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 782.33 = 492.89 : x
  2. Step 2: Convert to fraction form
    565.79/782.33 = 492.89/x
  3. Step 3: Cross multiply
    565.79x = 782.33 × 492.89
  4. Step 4: Simplify right side
    565.79x = 385,596.26
  5. Step 5: Solve for x
    x = 385,596.26/565.79
  6. Step 6: Final answer
    x = 681.52

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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.