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Finding the Fourth Proportional to 430.20, 589.41 and 424.13

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Solution

The fourth proportional to 430.20, 589.41 and 424.13 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.20 : 589.41 = 424.13 : x
  2. Step 2: Convert to fraction form
    430.20/589.41 = 424.13/x
  3. Step 3: Cross multiply
    430.20x = 589.41 × 424.13
  4. Step 4: Simplify right side
    430.20x = 249,983.52
  5. Step 5: Solve for x
    x = 249,983.52/430.20
  6. Step 6: Final answer
    x = 581.09

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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.