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Finding the Fourth Proportional to 401.57, 554.87 and 314.90

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Solution

The fourth proportional to 401.57, 554.87 and 314.90 is: 435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.57 : 554.87 = 314.90 : x
  2. Step 2: Convert to fraction form
    401.57/554.87 = 314.90/x
  3. Step 3: Cross multiply
    401.57x = 554.87 × 314.90
  4. Step 4: Simplify right side
    401.57x = 174,726.58
  5. Step 5: Solve for x
    x = 174,726.58/401.57
  6. Step 6: Final answer
    x = 435.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.