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Finding the Fourth Proportional to 525.03, 724.86 and 475.50

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Solution

The fourth proportional to 525.03, 724.86 and 475.50 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.03 : 724.86 = 475.50 : x
  2. Step 2: Convert to fraction form
    525.03/724.86 = 475.50/x
  3. Step 3: Cross multiply
    525.03x = 724.86 × 475.50
  4. Step 4: Simplify right side
    525.03x = 344,670.93
  5. Step 5: Solve for x
    x = 344,670.93/525.03
  6. Step 6: Final answer
    x = 656.48

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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.