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Finding the Fourth Proportional to 429.18, 590.94 and 394.35

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Solution

The fourth proportional to 429.18, 590.94 and 394.35 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.18 : 590.94 = 394.35 : x
  2. Step 2: Convert to fraction form
    429.18/590.94 = 394.35/x
  3. Step 3: Cross multiply
    429.18x = 590.94 × 394.35
  4. Step 4: Simplify right side
    429.18x = 233,037.19
  5. Step 5: Solve for x
    x = 233,037.19/429.18
  6. Step 6: Final answer
    x = 542.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.