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Finding the Fourth Proportional to 317.02, 435.72 and 279.96

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Solution

The fourth proportional to 317.02, 435.72 and 279.96 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.02 : 435.72 = 279.96 : x
  2. Step 2: Convert to fraction form
    317.02/435.72 = 279.96/x
  3. Step 3: Cross multiply
    317.02x = 435.72 × 279.96
  4. Step 4: Simplify right side
    317.02x = 121,981.99
  5. Step 5: Solve for x
    x = 121,981.99/317.02
  6. Step 6: Final answer
    x = 384.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.