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Finding the Fourth Proportional to 509.51, 763.75 and 289.68

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Solution

The fourth proportional to 509.51, 763.75 and 289.68 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.51 : 763.75 = 289.68 : x
  2. Step 2: Convert to fraction form
    509.51/763.75 = 289.68/x
  3. Step 3: Cross multiply
    509.51x = 763.75 × 289.68
  4. Step 4: Simplify right side
    509.51x = 221,242.13
  5. Step 5: Solve for x
    x = 221,242.13/509.51
  6. Step 6: Final answer
    x = 434.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.