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Finding the Fourth Proportional to 576.06, 795.75 and 446.70

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Solution

The fourth proportional to 576.06, 795.75 and 446.70 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 795.75 = 446.70 : x
  2. Step 2: Convert to fraction form
    576.06/795.75 = 446.70/x
  3. Step 3: Cross multiply
    576.06x = 795.75 × 446.70
  4. Step 4: Simplify right side
    576.06x = 355,461.53
  5. Step 5: Solve for x
    x = 355,461.53/576.06
  6. Step 6: Final answer
    x = 617.06

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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.