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Finding the Fourth Proportional to 400.48, 549.68 and 355.84

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Solution

The fourth proportional to 400.48, 549.68 and 355.84 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 549.68 = 355.84 : x
  2. Step 2: Convert to fraction form
    400.48/549.68 = 355.84/x
  3. Step 3: Cross multiply
    400.48x = 549.68 × 355.84
  4. Step 4: Simplify right side
    400.48x = 195,598.13
  5. Step 5: Solve for x
    x = 195,598.13/400.48
  6. Step 6: Final answer
    x = 488.41

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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.