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Finding the Fourth Proportional to 317.59, 472.92 and 305.92

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Solution

The fourth proportional to 317.59, 472.92 and 305.92 is: 455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.59 : 472.92 = 305.92 : x
  2. Step 2: Convert to fraction form
    317.59/472.92 = 305.92/x
  3. Step 3: Cross multiply
    317.59x = 472.92 × 305.92
  4. Step 4: Simplify right side
    317.59x = 144,673.88
  5. Step 5: Solve for x
    x = 144,673.88/317.59
  6. Step 6: Final answer
    x = 455.53

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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.