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Finding the Fourth Proportional to 522.08, 716.63 and 461.75

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Solution

The fourth proportional to 522.08, 716.63 and 461.75 is: 633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.08 : 716.63 = 461.75 : x
  2. Step 2: Convert to fraction form
    522.08/716.63 = 461.75/x
  3. Step 3: Cross multiply
    522.08x = 716.63 × 461.75
  4. Step 4: Simplify right side
    522.08x = 330,901.47
  5. Step 5: Solve for x
    x = 330,901.47/522.08
  6. Step 6: Final answer
    x = 633.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.