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Finding the Fourth Proportional to 434.67, 651.20 and 339.09

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Solution

The fourth proportional to 434.67, 651.20 and 339.09 is: 508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 651.20 = 339.09 : x
  2. Step 2: Convert to fraction form
    434.67/651.20 = 339.09/x
  3. Step 3: Cross multiply
    434.67x = 651.20 × 339.09
  4. Step 4: Simplify right side
    434.67x = 220,813.71
  5. Step 5: Solve for x
    x = 220,813.71/434.67
  6. Step 6: Final answer
    x = 508.00

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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.