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Finding the Fourth Proportional to 674.31, 930.59 and 412.35

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Solution

The fourth proportional to 674.31, 930.59 and 412.35 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.31 : 930.59 = 412.35 : x
  2. Step 2: Convert to fraction form
    674.31/930.59 = 412.35/x
  3. Step 3: Cross multiply
    674.31x = 930.59 × 412.35
  4. Step 4: Simplify right side
    674.31x = 383,728.79
  5. Step 5: Solve for x
    x = 383,728.79/674.31
  6. Step 6: Final answer
    x = 569.07

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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.