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Finding the Fourth Proportional to 405.72, 560.16 and 312.29

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Solution

The fourth proportional to 405.72, 560.16 and 312.29 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 560.16 = 312.29 : x
  2. Step 2: Convert to fraction form
    405.72/560.16 = 312.29/x
  3. Step 3: Cross multiply
    405.72x = 560.16 × 312.29
  4. Step 4: Simplify right side
    405.72x = 174,932.37
  5. Step 5: Solve for x
    x = 174,932.37/405.72
  6. Step 6: Final answer
    x = 431.17

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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.