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Finding the Fourth Proportional to 333.54, 459.95 and 313.94

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Solution

The fourth proportional to 333.54, 459.95 and 313.94 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 459.95 = 313.94 : x
  2. Step 2: Convert to fraction form
    333.54/459.95 = 313.94/x
  3. Step 3: Cross multiply
    333.54x = 459.95 × 313.94
  4. Step 4: Simplify right side
    333.54x = 144,396.28
  5. Step 5: Solve for x
    x = 144,396.28/333.54
  6. Step 6: Final answer
    x = 432.92

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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.