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Finding the Fourth Proportional to 512.84, 707.82 and 357.50

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Solution

The fourth proportional to 512.84, 707.82 and 357.50 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.82 = 357.50 : x
  2. Step 2: Convert to fraction form
    512.84/707.82 = 357.50/x
  3. Step 3: Cross multiply
    512.84x = 707.82 × 357.50
  4. Step 4: Simplify right side
    512.84x = 253,045.65
  5. Step 5: Solve for x
    x = 253,045.65/512.84
  6. Step 6: Final answer
    x = 493.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.