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Finding the Fourth Proportional to 430.14, 592.92 and 319.44

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Solution

The fourth proportional to 430.14, 592.92 and 319.44 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.14 : 592.92 = 319.44 : x
  2. Step 2: Convert to fraction form
    430.14/592.92 = 319.44/x
  3. Step 3: Cross multiply
    430.14x = 592.92 × 319.44
  4. Step 4: Simplify right side
    430.14x = 189,402.36
  5. Step 5: Solve for x
    x = 189,402.36/430.14
  6. Step 6: Final answer
    x = 440.33

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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.