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Finding the Fourth Proportional to 405.70, 560.06 and 265.83

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Solution

The fourth proportional to 405.70, 560.06 and 265.83 is: 366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 560.06 = 265.83 : x
  2. Step 2: Convert to fraction form
    405.70/560.06 = 265.83/x
  3. Step 3: Cross multiply
    405.70x = 560.06 × 265.83
  4. Step 4: Simplify right side
    405.70x = 148,880.75
  5. Step 5: Solve for x
    x = 148,880.75/405.70
  6. Step 6: Final answer
    x = 366.97

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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.