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Finding the Fourth Proportional to 537.08, 805.64 and 429.08

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Solution

The fourth proportional to 537.08, 805.64 and 429.08 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.08 : 805.64 = 429.08 : x
  2. Step 2: Convert to fraction form
    537.08/805.64 = 429.08/x
  3. Step 3: Cross multiply
    537.08x = 805.64 × 429.08
  4. Step 4: Simplify right side
    537.08x = 345,684.01
  5. Step 5: Solve for x
    x = 345,684.01/537.08
  6. Step 6: Final answer
    x = 643.64

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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.