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Finding the Fourth Proportional to 537.41, 805.71 and 429.14

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Solution

The fourth proportional to 537.41, 805.71 and 429.14 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.41 : 805.71 = 429.14 : x
  2. Step 2: Convert to fraction form
    537.41/805.71 = 429.14/x
  3. Step 3: Cross multiply
    537.41x = 805.71 × 429.14
  4. Step 4: Simplify right side
    537.41x = 345,762.39
  5. Step 5: Solve for x
    x = 345,762.39/537.41
  6. Step 6: Final answer
    x = 643.39

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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.