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Finding the Fourth Proportional to 537.18, 805.77 and 509.10

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Solution

The fourth proportional to 537.18, 805.77 and 509.10 is: 763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.18 : 805.77 = 509.10 : x
  2. Step 2: Convert to fraction form
    537.18/805.77 = 509.10/x
  3. Step 3: Cross multiply
    537.18x = 805.77 × 509.10
  4. Step 4: Simplify right side
    537.18x = 410,217.51
  5. Step 5: Solve for x
    x = 410,217.51/537.18
  6. Step 6: Final answer
    x = 763.65

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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.