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Finding the Fourth Proportional to 403.48, 557.80 and 273.16

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Solution

The fourth proportional to 403.48, 557.80 and 273.16 is: 377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 557.80 = 273.16 : x
  2. Step 2: Convert to fraction form
    403.48/557.80 = 273.16/x
  3. Step 3: Cross multiply
    403.48x = 557.80 × 273.16
  4. Step 4: Simplify right side
    403.48x = 152,368.65
  5. Step 5: Solve for x
    x = 152,368.65/403.48
  6. Step 6: Final answer
    x = 377.64

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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.