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Finding the Fourth Proportional to 563.49, 848.61 and 495.75

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Solution

The fourth proportional to 563.49, 848.61 and 495.75 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 848.61 = 495.75 : x
  2. Step 2: Convert to fraction form
    563.49/848.61 = 495.75/x
  3. Step 3: Cross multiply
    563.49x = 848.61 × 495.75
  4. Step 4: Simplify right side
    563.49x = 420,701.59
  5. Step 5: Solve for x
    x = 420,701.59/563.49
  6. Step 6: Final answer
    x = 746.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.