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Finding the Fourth Proportional to 434.81, 600.14 and 295.16

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Solution

The fourth proportional to 434.81, 600.14 and 295.16 is: 407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 600.14 = 295.16 : x
  2. Step 2: Convert to fraction form
    434.81/600.14 = 295.16/x
  3. Step 3: Cross multiply
    434.81x = 600.14 × 295.16
  4. Step 4: Simplify right side
    434.81x = 177,137.31
  5. Step 5: Solve for x
    x = 177,137.31/434.81
  6. Step 6: Final answer
    x = 407.39

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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.