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Finding the Fourth Proportional to 663.45, 914.47 and 476.64

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Solution

The fourth proportional to 663.45, 914.47 and 476.64 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.45 : 914.47 = 476.64 : x
  2. Step 2: Convert to fraction form
    663.45/914.47 = 476.64/x
  3. Step 3: Cross multiply
    663.45x = 914.47 × 476.64
  4. Step 4: Simplify right side
    663.45x = 435,872.98
  5. Step 5: Solve for x
    x = 435,872.98/663.45
  6. Step 6: Final answer
    x = 656.98

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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.