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Finding the Fourth Proportional to 499.34, 689.06 and 289.58

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Solution

The fourth proportional to 499.34, 689.06 and 289.58 is: 399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.34 : 689.06 = 289.58 : x
  2. Step 2: Convert to fraction form
    499.34/689.06 = 289.58/x
  3. Step 3: Cross multiply
    499.34x = 689.06 × 289.58
  4. Step 4: Simplify right side
    499.34x = 199,533.64
  5. Step 5: Solve for x
    x = 199,533.64/499.34
  6. Step 6: Final answer
    x = 399.60

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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.