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Finding the Fourth Proportional to 434.49, 651.93 and 272.08

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Solution

The fourth proportional to 434.49, 651.93 and 272.08 is: 408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 651.93 = 272.08 : x
  2. Step 2: Convert to fraction form
    434.49/651.93 = 272.08/x
  3. Step 3: Cross multiply
    434.49x = 651.93 × 272.08
  4. Step 4: Simplify right side
    434.49x = 177,377.11
  5. Step 5: Solve for x
    x = 177,377.11/434.49
  6. Step 6: Final answer
    x = 408.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.