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Finding the Fourth Proportional to 610.46, 841.94 and 411.32

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Solution

The fourth proportional to 610.46, 841.94 and 411.32 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.46 : 841.94 = 411.32 : x
  2. Step 2: Convert to fraction form
    610.46/841.94 = 411.32/x
  3. Step 3: Cross multiply
    610.46x = 841.94 × 411.32
  4. Step 4: Simplify right side
    610.46x = 346,306.76
  5. Step 5: Solve for x
    x = 346,306.76/610.46
  6. Step 6: Final answer
    x = 567.29

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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.