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Finding the Fourth Proportional to 563.64, 777.94 and 459.40

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Solution

The fourth proportional to 563.64, 777.94 and 459.40 is: 634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 777.94 = 459.40 : x
  2. Step 2: Convert to fraction form
    563.64/777.94 = 459.40/x
  3. Step 3: Cross multiply
    563.64x = 777.94 × 459.40
  4. Step 4: Simplify right side
    563.64x = 357,385.64
  5. Step 5: Solve for x
    x = 357,385.64/563.64
  6. Step 6: Final answer
    x = 634.07

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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.