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Finding the Fourth Proportional to 656.29, 906.56 and 482.55

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Solution

The fourth proportional to 656.29, 906.56 and 482.55 is: 666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.29 : 906.56 = 482.55 : x
  2. Step 2: Convert to fraction form
    656.29/906.56 = 482.55/x
  3. Step 3: Cross multiply
    656.29x = 906.56 × 482.55
  4. Step 4: Simplify right side
    656.29x = 437,460.53
  5. Step 5: Solve for x
    x = 437,460.53/656.29
  6. Step 6: Final answer
    x = 666.57

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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.