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Finding the Fourth Proportional to 563.12, 777.24 and 407.84

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Solution

The fourth proportional to 563.12, 777.24 and 407.84 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.12 : 777.24 = 407.84 : x
  2. Step 2: Convert to fraction form
    563.12/777.24 = 407.84/x
  3. Step 3: Cross multiply
    563.12x = 777.24 × 407.84
  4. Step 4: Simplify right side
    563.12x = 316,989.56
  5. Step 5: Solve for x
    x = 316,989.56/563.12
  6. Step 6: Final answer
    x = 562.92

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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.