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Finding the Fourth Proportional to 499.64, 688.98 and 493.16

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Solution

The fourth proportional to 499.64, 688.98 and 493.16 is: 680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.64 : 688.98 = 493.16 : x
  2. Step 2: Convert to fraction form
    499.64/688.98 = 493.16/x
  3. Step 3: Cross multiply
    499.64x = 688.98 × 493.16
  4. Step 4: Simplify right side
    499.64x = 339,777.38
  5. Step 5: Solve for x
    x = 339,777.38/499.64
  6. Step 6: Final answer
    x = 680.04

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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.