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Finding the Fourth Proportional to 499.84, 689.74 and 287.16

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Solution

The fourth proportional to 499.84, 689.74 and 287.16 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 689.74 = 287.16 : x
  2. Step 2: Convert to fraction form
    499.84/689.74 = 287.16/x
  3. Step 3: Cross multiply
    499.84x = 689.74 × 287.16
  4. Step 4: Simplify right side
    499.84x = 198,060.85
  5. Step 5: Solve for x
    x = 198,060.85/499.84
  6. Step 6: Final answer
    x = 396.25

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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.