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Finding the Fourth Proportional to 674.18, 930.48 and 412.34

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Solution

The fourth proportional to 674.18, 930.48 and 412.34 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.18 : 930.48 = 412.34 : x
  2. Step 2: Convert to fraction form
    674.18/930.48 = 412.34/x
  3. Step 3: Cross multiply
    674.18x = 930.48 × 412.34
  4. Step 4: Simplify right side
    674.18x = 383,674.12
  5. Step 5: Solve for x
    x = 383,674.12/674.18
  6. Step 6: Final answer
    x = 569.10

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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.