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Finding the Fourth Proportional to 434.94, 600.16 and 260.26

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Solution

The fourth proportional to 434.94, 600.16 and 260.26 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 600.16 = 260.26 : x
  2. Step 2: Convert to fraction form
    434.94/600.16 = 260.26/x
  3. Step 3: Cross multiply
    434.94x = 600.16 × 260.26
  4. Step 4: Simplify right side
    434.94x = 156,197.64
  5. Step 5: Solve for x
    x = 156,197.64/434.94
  6. Step 6: Final answer
    x = 359.12

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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.