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Finding the Fourth Proportional to 563.65, 777.87 and 314.98

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Solution

The fourth proportional to 563.65, 777.87 and 314.98 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.65 : 777.87 = 314.98 : x
  2. Step 2: Convert to fraction form
    563.65/777.87 = 314.98/x
  3. Step 3: Cross multiply
    563.65x = 777.87 × 314.98
  4. Step 4: Simplify right side
    563.65x = 245,013.49
  5. Step 5: Solve for x
    x = 245,013.49/563.65
  6. Step 6: Final answer
    x = 434.69

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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.