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Finding the Fourth Proportional to 566.37, 854.66 and 546.03

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Solution

The fourth proportional to 566.37, 854.66 and 546.03 is: 823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 854.66 = 546.03 : x
  2. Step 2: Convert to fraction form
    566.37/854.66 = 546.03/x
  3. Step 3: Cross multiply
    566.37x = 854.66 × 546.03
  4. Step 4: Simplify right side
    566.37x = 466,667.27
  5. Step 5: Solve for x
    x = 466,667.27/566.37
  6. Step 6: Final answer
    x = 823.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.