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Finding the Fourth Proportional to 430.23, 589.85 and 422.45

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Solution

The fourth proportional to 430.23, 589.85 and 422.45 is: 579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.23 : 589.85 = 422.45 : x
  2. Step 2: Convert to fraction form
    430.23/589.85 = 422.45/x
  3. Step 3: Cross multiply
    430.23x = 589.85 × 422.45
  4. Step 4: Simplify right side
    430.23x = 249,182.13
  5. Step 5: Solve for x
    x = 249,182.13/430.23
  6. Step 6: Final answer
    x = 579.18

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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.