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Finding the Fourth Proportional to 434.61, 651.72 and 252.06

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Solution

The fourth proportional to 434.61, 651.72 and 252.06 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 651.72 = 252.06 : x
  2. Step 2: Convert to fraction form
    434.61/651.72 = 252.06/x
  3. Step 3: Cross multiply
    434.61x = 651.72 × 252.06
  4. Step 4: Simplify right side
    434.61x = 164,272.07
  5. Step 5: Solve for x
    x = 164,272.07/434.61
  6. Step 6: Final answer
    x = 377.97

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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.