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Finding the Fourth Proportional to 563.51, 777.74 and 342.61

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Solution

The fourth proportional to 563.51, 777.74 and 342.61 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.51 : 777.74 = 342.61 : x
  2. Step 2: Convert to fraction form
    563.51/777.74 = 342.61/x
  3. Step 3: Cross multiply
    563.51x = 777.74 × 342.61
  4. Step 4: Simplify right side
    563.51x = 266,461.50
  5. Step 5: Solve for x
    x = 266,461.50/563.51
  6. Step 6: Final answer
    x = 472.86

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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.