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Finding the Fourth Proportional to 563.01, 777.06 and 364.09

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Solution

The fourth proportional to 563.01, 777.06 and 364.09 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.01 : 777.06 = 364.09 : x
  2. Step 2: Convert to fraction form
    563.01/777.06 = 364.09/x
  3. Step 3: Cross multiply
    563.01x = 777.06 × 364.09
  4. Step 4: Simplify right side
    563.01x = 282,917.95
  5. Step 5: Solve for x
    x = 282,917.95/563.01
  6. Step 6: Final answer
    x = 502.51

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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.