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Finding the Fourth Proportional to 576.81, 794.70 and 417.15

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Solution

The fourth proportional to 576.81, 794.70 and 417.15 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.81 : 794.70 = 417.15 : x
  2. Step 2: Convert to fraction form
    576.81/794.70 = 417.15/x
  3. Step 3: Cross multiply
    576.81x = 794.70 × 417.15
  4. Step 4: Simplify right side
    576.81x = 331,509.11
  5. Step 5: Solve for x
    x = 331,509.11/576.81
  6. Step 6: Final answer
    x = 574.73

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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.