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Finding the Fourth Proportional to 438.27, 600.88 and 430.47

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Solution

The fourth proportional to 438.27, 600.88 and 430.47 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.27 : 600.88 = 430.47 : x
  2. Step 2: Convert to fraction form
    438.27/600.88 = 430.47/x
  3. Step 3: Cross multiply
    438.27x = 600.88 × 430.47
  4. Step 4: Simplify right side
    438.27x = 258,660.81
  5. Step 5: Solve for x
    x = 258,660.81/438.27
  6. Step 6: Final answer
    x = 590.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.