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Finding the Fourth Proportional to 515.48, 711.06 and 294.32

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Solution

The fourth proportional to 515.48, 711.06 and 294.32 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 711.06 = 294.32 : x
  2. Step 2: Convert to fraction form
    515.48/711.06 = 294.32/x
  3. Step 3: Cross multiply
    515.48x = 711.06 × 294.32
  4. Step 4: Simplify right side
    515.48x = 209,279.18
  5. Step 5: Solve for x
    x = 209,279.18/515.48
  6. Step 6: Final answer
    x = 405.99

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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.