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Finding the Fourth Proportional to 374.72, 564.38 and 317.35

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Solution

The fourth proportional to 374.72, 564.38 and 317.35 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 564.38 = 317.35 : x
  2. Step 2: Convert to fraction form
    374.72/564.38 = 317.35/x
  3. Step 3: Cross multiply
    374.72x = 564.38 × 317.35
  4. Step 4: Simplify right side
    374.72x = 179,103.17
  5. Step 5: Solve for x
    x = 179,103.17/374.72
  6. Step 6: Final answer
    x = 477.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.