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Finding the Fourth Proportional to 521.86, 782.70 and 175.20

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Solution

The fourth proportional to 521.86, 782.70 and 175.20 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.86 : 782.70 = 175.20 : x
  2. Step 2: Convert to fraction form
    521.86/782.70 = 175.20/x
  3. Step 3: Cross multiply
    521.86x = 782.70 × 175.20
  4. Step 4: Simplify right side
    521.86x = 137,129.04
  5. Step 5: Solve for x
    x = 137,129.04/521.86
  6. Step 6: Final answer
    x = 262.77

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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.