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Finding the Fourth Proportional to 632.88, 949.64 and 479.76

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Solution

The fourth proportional to 632.88, 949.64 and 479.76 is: 719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 949.64 = 479.76 : x
  2. Step 2: Convert to fraction form
    632.88/949.64 = 479.76/x
  3. Step 3: Cross multiply
    632.88x = 949.64 × 479.76
  4. Step 4: Simplify right side
    632.88x = 455,599.29
  5. Step 5: Solve for x
    x = 455,599.29/632.88
  6. Step 6: Final answer
    x = 719.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.