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Finding the Fourth Proportional to 333.85, 458.71 and 312.52

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Solution

The fourth proportional to 333.85, 458.71 and 312.52 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.85 : 458.71 = 312.52 : x
  2. Step 2: Convert to fraction form
    333.85/458.71 = 312.52/x
  3. Step 3: Cross multiply
    333.85x = 458.71 × 312.52
  4. Step 4: Simplify right side
    333.85x = 143,354.49
  5. Step 5: Solve for x
    x = 143,354.49/333.85
  6. Step 6: Final answer
    x = 429.40

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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.