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Finding the Fourth Proportional to 404.16, 560.48 and 392.16

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Solution

The fourth proportional to 404.16, 560.48 and 392.16 is: 543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 560.48 = 392.16 : x
  2. Step 2: Convert to fraction form
    404.16/560.48 = 392.16/x
  3. Step 3: Cross multiply
    404.16x = 560.48 × 392.16
  4. Step 4: Simplify right side
    404.16x = 219,797.84
  5. Step 5: Solve for x
    x = 219,797.84/404.16
  6. Step 6: Final answer
    x = 543.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.