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Finding the Fourth Proportional to 663.15, 914.04 and 476.46

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Solution

The fourth proportional to 663.15, 914.04 and 476.46 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.15 : 914.04 = 476.46 : x
  2. Step 2: Convert to fraction form
    663.15/914.04 = 476.46/x
  3. Step 3: Cross multiply
    663.15x = 914.04 × 476.46
  4. Step 4: Simplify right side
    663.15x = 435,503.50
  5. Step 5: Solve for x
    x = 435,503.50/663.15
  6. Step 6: Final answer
    x = 656.72

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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.