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Finding the Fourth Proportional to 429.64, 590.41 and 342.16

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Solution

The fourth proportional to 429.64, 590.41 and 342.16 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 590.41 = 342.16 : x
  2. Step 2: Convert to fraction form
    429.64/590.41 = 342.16/x
  3. Step 3: Cross multiply
    429.64x = 590.41 × 342.16
  4. Step 4: Simplify right side
    429.64x = 202,014.69
  5. Step 5: Solve for x
    x = 202,014.69/429.64
  6. Step 6: Final answer
    x = 470.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.