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Finding the Fourth Proportional to 434.26, 651.54 and 374.12

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Solution

The fourth proportional to 434.26, 651.54 and 374.12 is: 561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 651.54 = 374.12 : x
  2. Step 2: Convert to fraction form
    434.26/651.54 = 374.12/x
  3. Step 3: Cross multiply
    434.26x = 651.54 × 374.12
  4. Step 4: Simplify right side
    434.26x = 243,754.73
  5. Step 5: Solve for x
    x = 243,754.73/434.26
  6. Step 6: Final answer
    x = 561.31

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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.