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Finding the Fourth Proportional to 532.71, 795.14 and 494.67

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Solution

The fourth proportional to 532.71, 795.14 and 494.67 is: 738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 795.14 = 494.67 : x
  2. Step 2: Convert to fraction form
    532.71/795.14 = 494.67/x
  3. Step 3: Cross multiply
    532.71x = 795.14 × 494.67
  4. Step 4: Simplify right side
    532.71x = 393,333.14
  5. Step 5: Solve for x
    x = 393,333.14/532.71
  6. Step 6: Final answer
    x = 738.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.