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Finding the Fourth Proportional to 434.84, 600.17 and 260.28

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Solution

The fourth proportional to 434.84, 600.17 and 260.28 is: 359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 600.17 = 260.28 : x
  2. Step 2: Convert to fraction form
    434.84/600.17 = 260.28/x
  3. Step 3: Cross multiply
    434.84x = 600.17 × 260.28
  4. Step 4: Simplify right side
    434.84x = 156,210.95
  5. Step 5: Solve for x
    x = 156,210.95/434.84
  6. Step 6: Final answer
    x = 359.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.