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Finding the Fourth Proportional to 532.30, 798.96 and 377.80

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Solution

The fourth proportional to 532.30, 798.96 and 377.80 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 798.96 = 377.80 : x
  2. Step 2: Convert to fraction form
    532.30/798.96 = 377.80/x
  3. Step 3: Cross multiply
    532.30x = 798.96 × 377.80
  4. Step 4: Simplify right side
    532.30x = 301,847.09
  5. Step 5: Solve for x
    x = 301,847.09/532.30
  6. Step 6: Final answer
    x = 567.06

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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.