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Finding the Fourth Proportional to 405.95, 560.16 and 228.92

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Solution

The fourth proportional to 405.95, 560.16 and 228.92 is: 315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.95 : 560.16 = 228.92 : x
  2. Step 2: Convert to fraction form
    405.95/560.16 = 228.92/x
  3. Step 3: Cross multiply
    405.95x = 560.16 × 228.92
  4. Step 4: Simplify right side
    405.95x = 128,229.03
  5. Step 5: Solve for x
    x = 128,229.03/405.95
  6. Step 6: Final answer
    x = 315.88

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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.