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Finding the Fourth Proportional to 563.38, 774.68 and 546.08

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Solution

The fourth proportional to 563.38, 774.68 and 546.08 is: 750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.38 : 774.68 = 546.08 : x
  2. Step 2: Convert to fraction form
    563.38/774.68 = 546.08/x
  3. Step 3: Cross multiply
    563.38x = 774.68 × 546.08
  4. Step 4: Simplify right side
    563.38x = 423,030.65
  5. Step 5: Solve for x
    x = 423,030.65/563.38
  6. Step 6: Final answer
    x = 750.88

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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.