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Finding the Fourth Proportional to 508.44, 761.04 and 430.68

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Solution

The fourth proportional to 508.44, 761.04 and 430.68 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.44 : 761.04 = 430.68 : x
  2. Step 2: Convert to fraction form
    508.44/761.04 = 430.68/x
  3. Step 3: Cross multiply
    508.44x = 761.04 × 430.68
  4. Step 4: Simplify right side
    508.44x = 327,764.71
  5. Step 5: Solve for x
    x = 327,764.71/508.44
  6. Step 6: Final answer
    x = 644.65

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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.