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Finding the Fourth Proportional to 515.15, 710.89 and 294.08

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Solution

The fourth proportional to 515.15, 710.89 and 294.08 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.15 : 710.89 = 294.08 : x
  2. Step 2: Convert to fraction form
    515.15/710.89 = 294.08/x
  3. Step 3: Cross multiply
    515.15x = 710.89 × 294.08
  4. Step 4: Simplify right side
    515.15x = 209,057.06
  5. Step 5: Solve for x
    x = 209,057.06/515.15
  6. Step 6: Final answer
    x = 405.82

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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.