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Finding the Fourth Proportional to 508.65, 701.99 and 309.50

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Solution

The fourth proportional to 508.65, 701.99 and 309.50 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.65 : 701.99 = 309.50 : x
  2. Step 2: Convert to fraction form
    508.65/701.99 = 309.50/x
  3. Step 3: Cross multiply
    508.65x = 701.99 × 309.50
  4. Step 4: Simplify right side
    508.65x = 217,265.14
  5. Step 5: Solve for x
    x = 217,265.14/508.65
  6. Step 6: Final answer
    x = 427.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.