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Finding the Fourth Proportional to 405.36, 560.16 and 349.92

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Solution

The fourth proportional to 405.36, 560.16 and 349.92 is: 483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 560.16 = 349.92 : x
  2. Step 2: Convert to fraction form
    405.36/560.16 = 349.92/x
  3. Step 3: Cross multiply
    405.36x = 560.16 × 349.92
  4. Step 4: Simplify right side
    405.36x = 196,011.19
  5. Step 5: Solve for x
    x = 196,011.19/405.36
  6. Step 6: Final answer
    x = 483.55

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Why These Related Problems?

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