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Finding the Fourth Proportional to 563.15, 777.18 and 524.27

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Solution

The fourth proportional to 563.15, 777.18 and 524.27 is: 723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 777.18 = 524.27 : x
  2. Step 2: Convert to fraction form
    563.15/777.18 = 524.27/x
  3. Step 3: Cross multiply
    563.15x = 777.18 × 524.27
  4. Step 4: Simplify right side
    563.15x = 407,448.27
  5. Step 5: Solve for x
    x = 407,448.27/563.15
  6. Step 6: Final answer
    x = 723.52

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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.