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Finding the Fourth Proportional to 563.61, 777.75 and 314.91

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Solution

The fourth proportional to 563.61, 777.75 and 314.91 is: 434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 777.75 = 314.91 : x
  2. Step 2: Convert to fraction form
    563.61/777.75 = 314.91/x
  3. Step 3: Cross multiply
    563.61x = 777.75 × 314.91
  4. Step 4: Simplify right side
    563.61x = 244,921.25
  5. Step 5: Solve for x
    x = 244,921.25/563.61
  6. Step 6: Final answer
    x = 434.56

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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.