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Finding the Fourth Proportional to 553.47, 829.75 and 460.68

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Solution

The fourth proportional to 553.47, 829.75 and 460.68 is: 690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.47 : 829.75 = 460.68 : x
  2. Step 2: Convert to fraction form
    553.47/829.75 = 460.68/x
  3. Step 3: Cross multiply
    553.47x = 829.75 × 460.68
  4. Step 4: Simplify right side
    553.47x = 382,249.23
  5. Step 5: Solve for x
    x = 382,249.23/553.47
  6. Step 6: Final answer
    x = 690.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.