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Finding the Fourth Proportional to 333.84, 497.70 and 307.92

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Solution

The fourth proportional to 333.84, 497.70 and 307.92 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 497.70 = 307.92 : x
  2. Step 2: Convert to fraction form
    333.84/497.70 = 307.92/x
  3. Step 3: Cross multiply
    333.84x = 497.70 × 307.92
  4. Step 4: Simplify right side
    333.84x = 153,251.78
  5. Step 5: Solve for x
    x = 153,251.78/333.84
  6. Step 6: Final answer
    x = 459.06

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