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Finding the Fourth Proportional to 656.95, 906.58 and 362.23

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Solution

The fourth proportional to 656.95, 906.58 and 362.23 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.95 : 906.58 = 362.23 : x
  2. Step 2: Convert to fraction form
    656.95/906.58 = 362.23/x
  3. Step 3: Cross multiply
    656.95x = 906.58 × 362.23
  4. Step 4: Simplify right side
    656.95x = 328,390.47
  5. Step 5: Solve for x
    x = 328,390.47/656.95
  6. Step 6: Final answer
    x = 499.87

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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.