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Finding the Fourth Proportional to 532.14, 795 and 521.34

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Solution

The fourth proportional to 532.14, 795 and 521.34 is: 778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 795 = 521.34 : x
  2. Step 2: Convert to fraction form
    532.14/795 = 521.34/x
  3. Step 3: Cross multiply
    532.14x = 795 × 521.34
  4. Step 4: Simplify right side
    532.14x = 414,465.30
  5. Step 5: Solve for x
    x = 414,465.30/532.14
  6. Step 6: Final answer
    x = 778.87

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