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Finding the Fourth Proportional to 521.82, 723.38 and 501.30

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Solution

The fourth proportional to 521.82, 723.38 and 501.30 is: 694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 723.38 = 501.30 : x
  2. Step 2: Convert to fraction form
    521.82/723.38 = 501.30/x
  3. Step 3: Cross multiply
    521.82x = 723.38 × 501.30
  4. Step 4: Simplify right side
    521.82x = 362,627.89
  5. Step 5: Solve for x
    x = 362,627.89/521.82
  6. Step 6: Final answer
    x = 694.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.