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Finding the Fourth Proportional to 532.59, 799.43 and 412.17

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Solution

The fourth proportional to 532.59, 799.43 and 412.17 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.59 : 799.43 = 412.17 : x
  2. Step 2: Convert to fraction form
    532.59/799.43 = 412.17/x
  3. Step 3: Cross multiply
    532.59x = 799.43 × 412.17
  4. Step 4: Simplify right side
    532.59x = 329,499.00
  5. Step 5: Solve for x
    x = 329,499.00/532.59
  6. Step 6: Final answer
    x = 618.67

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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.