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Finding the Fourth Proportional to 430.49, 590.19 and 422.70

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Solution

The fourth proportional to 430.49, 590.19 and 422.70 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.49 : 590.19 = 422.70 : x
  2. Step 2: Convert to fraction form
    430.49/590.19 = 422.70/x
  3. Step 3: Cross multiply
    430.49x = 590.19 × 422.70
  4. Step 4: Simplify right side
    430.49x = 249,473.31
  5. Step 5: Solve for x
    x = 249,473.31/430.49
  6. Step 6: Final answer
    x = 579.52

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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.