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Finding the Fourth Proportional to 345.84, 515.42 and 334.14

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Solution

The fourth proportional to 345.84, 515.42 and 334.14 is: 497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 515.42 = 334.14 : x
  2. Step 2: Convert to fraction form
    345.84/515.42 = 334.14/x
  3. Step 3: Cross multiply
    345.84x = 515.42 × 334.14
  4. Step 4: Simplify right side
    345.84x = 172,220.77
  5. Step 5: Solve for x
    x = 172,220.77/345.84
  6. Step 6: Final answer
    x = 497.98

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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.