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Finding the Fourth Proportional to 563.42, 777.33 and 341.99

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Solution

The fourth proportional to 563.42, 777.33 and 341.99 is: 471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.42 : 777.33 = 341.99 : x
  2. Step 2: Convert to fraction form
    563.42/777.33 = 341.99/x
  3. Step 3: Cross multiply
    563.42x = 777.33 × 341.99
  4. Step 4: Simplify right side
    563.42x = 265,838.12
  5. Step 5: Solve for x
    x = 265,838.12/563.42
  6. Step 6: Final answer
    x = 471.83

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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.