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Finding the Fourth Proportional to 532.55, 798.23 and 347.21

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Solution

The fourth proportional to 532.55, 798.23 and 347.21 is: 520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.55 : 798.23 = 347.21 : x
  2. Step 2: Convert to fraction form
    532.55/798.23 = 347.21/x
  3. Step 3: Cross multiply
    532.55x = 798.23 × 347.21
  4. Step 4: Simplify right side
    532.55x = 277,154.58
  5. Step 5: Solve for x
    x = 277,154.58/532.55
  6. Step 6: Final answer
    x = 520.43

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