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Finding the Fourth Proportional to 532.60, 799.41 and 289.64

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Solution

The fourth proportional to 532.60, 799.41 and 289.64 is: 434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.60 : 799.41 = 289.64 : x
  2. Step 2: Convert to fraction form
    532.60/799.41 = 289.64/x
  3. Step 3: Cross multiply
    532.60x = 799.41 × 289.64
  4. Step 4: Simplify right side
    532.60x = 231,541.11
  5. Step 5: Solve for x
    x = 231,541.11/532.60
  6. Step 6: Final answer
    x = 434.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.