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Finding the Fourth Proportional to 333.82, 497.57 and 307.36

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Solution

The fourth proportional to 333.82, 497.57 and 307.36 is: 458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 497.57 = 307.36 : x
  2. Step 2: Convert to fraction form
    333.82/497.57 = 307.36/x
  3. Step 3: Cross multiply
    333.82x = 497.57 × 307.36
  4. Step 4: Simplify right side
    333.82x = 152,933.12
  5. Step 5: Solve for x
    x = 152,933.12/333.82
  6. Step 6: Final answer
    x = 458.13

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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.