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Finding the Fourth Proportional to 320.71, 478.67 and 295.06

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Solution

The fourth proportional to 320.71, 478.67 and 295.06 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.71 : 478.67 = 295.06 : x
  2. Step 2: Convert to fraction form
    320.71/478.67 = 295.06/x
  3. Step 3: Cross multiply
    320.71x = 478.67 × 295.06
  4. Step 4: Simplify right side
    320.71x = 141,234.89
  5. Step 5: Solve for x
    x = 141,234.89/320.71
  6. Step 6: Final answer
    x = 440.38

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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.