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Finding the Fourth Proportional to 566.49, 785.37 and 546.44

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Solution

The fourth proportional to 566.49, 785.37 and 546.44 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 785.37 = 546.44 : x
  2. Step 2: Convert to fraction form
    566.49/785.37 = 546.44/x
  3. Step 3: Cross multiply
    566.49x = 785.37 × 546.44
  4. Step 4: Simplify right side
    566.49x = 429,159.55
  5. Step 5: Solve for x
    x = 429,159.55/566.49
  6. Step 6: Final answer
    x = 757.58

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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.