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Finding the Fourth Proportional to 478.96, 714.96 and 440.40

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Solution

The fourth proportional to 478.96, 714.96 and 440.40 is: 657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 714.96 = 440.40 : x
  2. Step 2: Convert to fraction form
    478.96/714.96 = 440.40/x
  3. Step 3: Cross multiply
    478.96x = 714.96 × 440.40
  4. Step 4: Simplify right side
    478.96x = 314,868.38
  5. Step 5: Solve for x
    x = 314,868.38/478.96
  6. Step 6: Final answer
    x = 657.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.