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Finding the Fourth Proportional to 566.87, 855.41 and 546.53

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Solution

The fourth proportional to 566.87, 855.41 and 546.53 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.87 : 855.41 = 546.53 : x
  2. Step 2: Convert to fraction form
    566.87/855.41 = 546.53/x
  3. Step 3: Cross multiply
    566.87x = 855.41 × 546.53
  4. Step 4: Simplify right side
    566.87x = 467,507.23
  5. Step 5: Solve for x
    x = 467,507.23/566.87
  6. Step 6: Final answer
    x = 824.72

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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.