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Finding the Fourth Proportional to 563.58, 777.32 and 397.84

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Solution

The fourth proportional to 563.58, 777.32 and 397.84 is: 548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 777.32 = 397.84 : x
  2. Step 2: Convert to fraction form
    563.58/777.32 = 397.84/x
  3. Step 3: Cross multiply
    563.58x = 777.32 × 397.84
  4. Step 4: Simplify right side
    563.58x = 309,248.99
  5. Step 5: Solve for x
    x = 309,248.99/563.58
  6. Step 6: Final answer
    x = 548.72

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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.