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Finding the Fourth Proportional to 706.48, 1,058.58 and 382

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Solution

The fourth proportional to 706.48, 1,058.58 and 382 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 1,058.58 = 382 : x
  2. Step 2: Convert to fraction form
    706.48/1,058.58 = 382/x
  3. Step 3: Cross multiply
    706.48x = 1,058.58 × 382
  4. Step 4: Simplify right side
    706.48x = 404,377.56
  5. Step 5: Solve for x
    x = 404,377.56/706.48
  6. Step 6: Final answer
    x = 572.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.