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Finding the Fourth Proportional to 592.02, 816.50 and 497.12

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Solution

The fourth proportional to 592.02, 816.50 and 497.12 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.02 : 816.50 = 497.12 : x
  2. Step 2: Convert to fraction form
    592.02/816.50 = 497.12/x
  3. Step 3: Cross multiply
    592.02x = 816.50 × 497.12
  4. Step 4: Simplify right side
    592.02x = 405,898.48
  5. Step 5: Solve for x
    x = 405,898.48/592.02
  6. Step 6: Final answer
    x = 685.62

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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.