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Finding the Fourth Proportional to 434.10, 651.29 and 312.26

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Solution

The fourth proportional to 434.10, 651.29 and 312.26 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 651.29 = 312.26 : x
  2. Step 2: Convert to fraction form
    434.10/651.29 = 312.26/x
  3. Step 3: Cross multiply
    434.10x = 651.29 × 312.26
  4. Step 4: Simplify right side
    434.10x = 203,371.82
  5. Step 5: Solve for x
    x = 203,371.82/434.10
  6. Step 6: Final answer
    x = 468.49

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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.