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Finding the Fourth Proportional to 434.95, 600.17 and 260.25

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Solution

The fourth proportional to 434.95, 600.17 and 260.25 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 600.17 = 260.25 : x
  2. Step 2: Convert to fraction form
    434.95/600.17 = 260.25/x
  3. Step 3: Cross multiply
    434.95x = 600.17 × 260.25
  4. Step 4: Simplify right side
    434.95x = 156,192.94
  5. Step 5: Solve for x
    x = 156,192.94/434.95
  6. Step 6: Final answer
    x = 359.11

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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.