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Finding the Fourth Proportional to 501.23, 690.27 and 434.81

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Solution

The fourth proportional to 501.23, 690.27 and 434.81 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 690.27 = 434.81 : x
  2. Step 2: Convert to fraction form
    501.23/690.27 = 434.81/x
  3. Step 3: Cross multiply
    501.23x = 690.27 × 434.81
  4. Step 4: Simplify right side
    501.23x = 300,136.30
  5. Step 5: Solve for x
    x = 300,136.30/501.23
  6. Step 6: Final answer
    x = 598.80

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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.