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Finding the Fourth Proportional to 515.07, 710.82 and 294.09

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Solution

The fourth proportional to 515.07, 710.82 and 294.09 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.07 : 710.82 = 294.09 : x
  2. Step 2: Convert to fraction form
    515.07/710.82 = 294.09/x
  3. Step 3: Cross multiply
    515.07x = 710.82 × 294.09
  4. Step 4: Simplify right side
    515.07x = 209,041.50
  5. Step 5: Solve for x
    x = 209,041.50/515.07
  6. Step 6: Final answer
    x = 405.85

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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.