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Finding the Fourth Proportional to 499.89, 689.65 and 352.47

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Solution

The fourth proportional to 499.89, 689.65 and 352.47 is: 486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.89 : 689.65 = 352.47 : x
  2. Step 2: Convert to fraction form
    499.89/689.65 = 352.47/x
  3. Step 3: Cross multiply
    499.89x = 689.65 × 352.47
  4. Step 4: Simplify right side
    499.89x = 243,080.94
  5. Step 5: Solve for x
    x = 243,080.94/499.89
  6. Step 6: Final answer
    x = 486.27

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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.