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Finding the Fourth Proportional to 563.76, 777.40 and 416.34

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Solution

The fourth proportional to 563.76, 777.40 and 416.34 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 777.40 = 416.34 : x
  2. Step 2: Convert to fraction form
    563.76/777.40 = 416.34/x
  3. Step 3: Cross multiply
    563.76x = 777.40 × 416.34
  4. Step 4: Simplify right side
    563.76x = 323,661.68
  5. Step 5: Solve for x
    x = 323,661.68/563.76
  6. Step 6: Final answer
    x = 574.11

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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.