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Finding the Fourth Proportional to 563.68, 777.90 and 439.30

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Solution

The fourth proportional to 563.68, 777.90 and 439.30 is: 606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 777.90 = 439.30 : x
  2. Step 2: Convert to fraction form
    563.68/777.90 = 439.30/x
  3. Step 3: Cross multiply
    563.68x = 777.90 × 439.30
  4. Step 4: Simplify right side
    563.68x = 341,731.47
  5. Step 5: Solve for x
    x = 341,731.47/563.68
  6. Step 6: Final answer
    x = 606.25

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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.