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Finding the Fourth Proportional to 434.34, 651.42 and 145.71

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Solution

The fourth proportional to 434.34, 651.42 and 145.71 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 651.42 = 145.71 : x
  2. Step 2: Convert to fraction form
    434.34/651.42 = 145.71/x
  3. Step 3: Cross multiply
    434.34x = 651.42 × 145.71
  4. Step 4: Simplify right side
    434.34x = 94,918.41
  5. Step 5: Solve for x
    x = 94,918.41/434.34
  6. Step 6: Final answer
    x = 218.53

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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.