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Finding the Fourth Proportional to 405.99, 560.08 and 295.26

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Solution

The fourth proportional to 405.99, 560.08 and 295.26 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.99 : 560.08 = 295.26 : x
  2. Step 2: Convert to fraction form
    405.99/560.08 = 295.26/x
  3. Step 3: Cross multiply
    405.99x = 560.08 × 295.26
  4. Step 4: Simplify right side
    405.99x = 165,369.22
  5. Step 5: Solve for x
    x = 165,369.22/405.99
  6. Step 6: Final answer
    x = 407.32

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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.