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Finding the Fourth Proportional to 720.13, 993.84 and 417.41

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Solution

The fourth proportional to 720.13, 993.84 and 417.41 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.13 : 993.84 = 417.41 : x
  2. Step 2: Convert to fraction form
    720.13/993.84 = 417.41/x
  3. Step 3: Cross multiply
    720.13x = 993.84 × 417.41
  4. Step 4: Simplify right side
    720.13x = 414,834.91
  5. Step 5: Solve for x
    x = 414,834.91/720.13
  6. Step 6: Final answer
    x = 576.05

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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.