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Finding the Fourth Proportional to 526.71, 789.98 and 175.21

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Solution

The fourth proportional to 526.71, 789.98 and 175.21 is: 262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.71 : 789.98 = 175.21 : x
  2. Step 2: Convert to fraction form
    526.71/789.98 = 175.21/x
  3. Step 3: Cross multiply
    526.71x = 789.98 × 175.21
  4. Step 4: Simplify right side
    526.71x = 138,412.40
  5. Step 5: Solve for x
    x = 138,412.40/526.71
  6. Step 6: Final answer
    x = 262.79

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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.