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Finding the Fourth Proportional to 666.64, 920.28 and 470.32

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Solution

The fourth proportional to 666.64, 920.28 and 470.32 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 920.28 = 470.32 : x
  2. Step 2: Convert to fraction form
    666.64/920.28 = 470.32/x
  3. Step 3: Cross multiply
    666.64x = 920.28 × 470.32
  4. Step 4: Simplify right side
    666.64x = 432,826.09
  5. Step 5: Solve for x
    x = 432,826.09/666.64
  6. Step 6: Final answer
    x = 649.27

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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.