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Finding the Fourth Proportional to 482.76, 665.82 and 470.88

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Solution

The fourth proportional to 482.76, 665.82 and 470.88 is: 649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 665.82 = 470.88 : x
  2. Step 2: Convert to fraction form
    482.76/665.82 = 470.88/x
  3. Step 3: Cross multiply
    482.76x = 665.82 × 470.88
  4. Step 4: Simplify right side
    482.76x = 313,521.32
  5. Step 5: Solve for x
    x = 313,521.32/482.76
  6. Step 6: Final answer
    x = 649.44

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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.