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Finding the Fourth Proportional to 563.15, 776.39 and 523.06

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Solution

The fourth proportional to 563.15, 776.39 and 523.06 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 776.39 = 523.06 : x
  2. Step 2: Convert to fraction form
    563.15/776.39 = 523.06/x
  3. Step 3: Cross multiply
    563.15x = 776.39 × 523.06
  4. Step 4: Simplify right side
    563.15x = 406,094.00
  5. Step 5: Solve for x
    x = 406,094.00/563.15
  6. Step 6: Final answer
    x = 721.11

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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.