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Finding the Fourth Proportional to 335.16, 500.54 and 306

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Solution

The fourth proportional to 335.16, 500.54 and 306 is: 456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 500.54 = 306 : x
  2. Step 2: Convert to fraction form
    335.16/500.54 = 306/x
  3. Step 3: Cross multiply
    335.16x = 500.54 × 306
  4. Step 4: Simplify right side
    335.16x = 153,163.71
  5. Step 5: Solve for x
    x = 153,163.71/335.16
  6. Step 6: Final answer
    x = 456.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.