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Finding the Fourth Proportional to 434.96, 651.19 and 407.71

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Solution

The fourth proportional to 434.96, 651.19 and 407.71 is: 610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.96 : 651.19 = 407.71 : x
  2. Step 2: Convert to fraction form
    434.96/651.19 = 407.71/x
  3. Step 3: Cross multiply
    434.96x = 651.19 × 407.71
  4. Step 4: Simplify right side
    434.96x = 265,496.67
  5. Step 5: Solve for x
    x = 265,496.67/434.96
  6. Step 6: Final answer
    x = 610.39

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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.