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Finding the Fourth Proportional to 594.42, 891.91 and 286.42

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Solution

The fourth proportional to 594.42, 891.91 and 286.42 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 891.91 = 286.42 : x
  2. Step 2: Convert to fraction form
    594.42/891.91 = 286.42/x
  3. Step 3: Cross multiply
    594.42x = 891.91 × 286.42
  4. Step 4: Simplify right side
    594.42x = 255,460.86
  5. Step 5: Solve for x
    x = 255,460.86/594.42
  6. Step 6: Final answer
    x = 429.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.