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Finding the Fourth Proportional to 430.94, 594.01 and 330.23

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Solution

The fourth proportional to 430.94, 594.01 and 330.23 is: 455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 594.01 = 330.23 : x
  2. Step 2: Convert to fraction form
    430.94/594.01 = 330.23/x
  3. Step 3: Cross multiply
    430.94x = 594.01 × 330.23
  4. Step 4: Simplify right side
    430.94x = 196,159.92
  5. Step 5: Solve for x
    x = 196,159.92/430.94
  6. Step 6: Final answer
    x = 455.19

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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.