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Finding the Fourth Proportional to 563.40, 776.16 and 529.38

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Solution

The fourth proportional to 563.40, 776.16 and 529.38 is: 729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 776.16 = 529.38 : x
  2. Step 2: Convert to fraction form
    563.40/776.16 = 529.38/x
  3. Step 3: Cross multiply
    563.40x = 776.16 × 529.38
  4. Step 4: Simplify right side
    563.40x = 410,883.58
  5. Step 5: Solve for x
    x = 410,883.58/563.40
  6. Step 6: Final answer
    x = 729.29

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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.