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Finding the Fourth Proportional to 525.44, 724.64 and 414.56

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Solution

The fourth proportional to 525.44, 724.64 and 414.56 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 724.64 = 414.56 : x
  2. Step 2: Convert to fraction form
    525.44/724.64 = 414.56/x
  3. Step 3: Cross multiply
    525.44x = 724.64 × 414.56
  4. Step 4: Simplify right side
    525.44x = 300,406.76
  5. Step 5: Solve for x
    x = 300,406.76/525.44
  6. Step 6: Final answer
    x = 571.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.