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Finding the Fourth Proportional to 563.74, 777.98 and 315.06

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Solution

The fourth proportional to 563.74, 777.98 and 315.06 is: 434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.74 : 777.98 = 315.06 : x
  2. Step 2: Convert to fraction form
    563.74/777.98 = 315.06/x
  3. Step 3: Cross multiply
    563.74x = 777.98 × 315.06
  4. Step 4: Simplify right side
    563.74x = 245,108.25
  5. Step 5: Solve for x
    x = 245,108.25/563.74
  6. Step 6: Final answer
    x = 434.79

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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.