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Finding the Fourth Proportional to 563.84, 777.77 and 423.90

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Solution

The fourth proportional to 563.84, 777.77 and 423.90 is: 584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 777.77 = 423.90 : x
  2. Step 2: Convert to fraction form
    563.84/777.77 = 423.90/x
  3. Step 3: Cross multiply
    563.84x = 777.77 × 423.90
  4. Step 4: Simplify right side
    563.84x = 329,699.71
  5. Step 5: Solve for x
    x = 329,699.71/563.84
  6. Step 6: Final answer
    x = 584.74

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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.