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Finding the Fourth Proportional to 509, 763.50 and 205

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Solution

The fourth proportional to 509, 763.50 and 205 is: 307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.50 = 205 : x
  2. Step 2: Convert to fraction form
    509/763.50 = 205/x
  3. Step 3: Cross multiply
    509x = 763.50 × 205
  4. Step 4: Simplify right side
    509x = 156,517.50
  5. Step 5: Solve for x
    x = 156,517.50/509
  6. Step 6: Final answer
    x = 307.50

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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.