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Finding the Fourth Proportional to 613.53, 846.81 and 417.51

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Solution

The fourth proportional to 613.53, 846.81 and 417.51 is: 576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 846.81 = 417.51 : x
  2. Step 2: Convert to fraction form
    613.53/846.81 = 417.51/x
  3. Step 3: Cross multiply
    613.53x = 846.81 × 417.51
  4. Step 4: Simplify right side
    613.53x = 353,551.64
  5. Step 5: Solve for x
    x = 353,551.64/613.53
  6. Step 6: Final answer
    x = 576.26

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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.