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Finding the Fourth Proportional to 659.45, 908.95 and 472.64

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Solution

The fourth proportional to 659.45, 908.95 and 472.64 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.45 : 908.95 = 472.64 : x
  2. Step 2: Convert to fraction form
    659.45/908.95 = 472.64/x
  3. Step 3: Cross multiply
    659.45x = 908.95 × 472.64
  4. Step 4: Simplify right side
    659.45x = 429,606.13
  5. Step 5: Solve for x
    x = 429,606.13/659.45
  6. Step 6: Final answer
    x = 651.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.