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Finding the Fourth Proportional to 566.13, 851.25 and 521.02

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Solution

The fourth proportional to 566.13, 851.25 and 521.02 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.13 : 851.25 = 521.02 : x
  2. Step 2: Convert to fraction form
    566.13/851.25 = 521.02/x
  3. Step 3: Cross multiply
    566.13x = 851.25 × 521.02
  4. Step 4: Simplify right side
    566.13x = 443,518.28
  5. Step 5: Solve for x
    x = 443,518.28/566.13
  6. Step 6: Final answer
    x = 783.42

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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.