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Finding the Fourth Proportional to 520.26, 780.30 and 173.58

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Solution

The fourth proportional to 520.26, 780.30 and 173.58 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 780.30 = 173.58 : x
  2. Step 2: Convert to fraction form
    520.26/780.30 = 173.58/x
  3. Step 3: Cross multiply
    520.26x = 780.30 × 173.58
  4. Step 4: Simplify right side
    520.26x = 135,441.55
  5. Step 5: Solve for x
    x = 135,441.55/520.26
  6. Step 6: Final answer
    x = 260.34

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1.5x scale

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.