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Finding the Fourth Proportional to 656.86, 906.49 and 362.12

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Solution

The fourth proportional to 656.86, 906.49 and 362.12 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.86 : 906.49 = 362.12 : x
  2. Step 2: Convert to fraction form
    656.86/906.49 = 362.12/x
  3. Step 3: Cross multiply
    656.86x = 906.49 × 362.12
  4. Step 4: Simplify right side
    656.86x = 328,259.18
  5. Step 5: Solve for x
    x = 328,259.18/656.86
  6. Step 6: Final answer
    x = 499.74

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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.