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Finding the Fourth Proportional to 675.34, 931.83 and 406.11

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Solution

The fourth proportional to 675.34, 931.83 and 406.11 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.34 : 931.83 = 406.11 : x
  2. Step 2: Convert to fraction form
    675.34/931.83 = 406.11/x
  3. Step 3: Cross multiply
    675.34x = 931.83 × 406.11
  4. Step 4: Simplify right side
    675.34x = 378,425.48
  5. Step 5: Solve for x
    x = 378,425.48/675.34
  6. Step 6: Final answer
    x = 560.35

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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.