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Finding the Fourth Proportional to 494.46, 740.88 and 476.64

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Solution

The fourth proportional to 494.46, 740.88 and 476.64 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.46 : 740.88 = 476.64 : x
  2. Step 2: Convert to fraction form
    494.46/740.88 = 476.64/x
  3. Step 3: Cross multiply
    494.46x = 740.88 × 476.64
  4. Step 4: Simplify right side
    494.46x = 353,133.04
  5. Step 5: Solve for x
    x = 353,133.04/494.46
  6. Step 6: Final answer
    x = 714.18

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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.