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Finding the Fourth Proportional to 563.88, 775.37 and 546.58

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Solution

The fourth proportional to 563.88, 775.37 and 546.58 is: 751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 775.37 = 546.58 : x
  2. Step 2: Convert to fraction form
    563.88/775.37 = 546.58/x
  3. Step 3: Cross multiply
    563.88x = 775.37 × 546.58
  4. Step 4: Simplify right side
    563.88x = 423,795.12
  5. Step 5: Solve for x
    x = 423,795.12/563.88
  6. Step 6: Final answer
    x = 751.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.