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Finding the Fourth Proportional to 449.02, 615.78 and 430.31

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Solution

The fourth proportional to 449.02, 615.78 and 430.31 is: 590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 615.78 = 430.31 : x
  2. Step 2: Convert to fraction form
    449.02/615.78 = 430.31/x
  3. Step 3: Cross multiply
    449.02x = 615.78 × 430.31
  4. Step 4: Simplify right side
    449.02x = 264,979.44
  5. Step 5: Solve for x
    x = 264,979.44/449.02
  6. Step 6: Final answer
    x = 590.13

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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.