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Finding the Fourth Proportional to 333.10, 497.32 and 300.29

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Solution

The fourth proportional to 333.10, 497.32 and 300.29 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 497.32 = 300.29 : x
  2. Step 2: Convert to fraction form
    333.10/497.32 = 300.29/x
  3. Step 3: Cross multiply
    333.10x = 497.32 × 300.29
  4. Step 4: Simplify right side
    333.10x = 149,341.47
  5. Step 5: Solve for x
    x = 149,341.47/333.10
  6. Step 6: Final answer
    x = 448.34

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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.