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Finding the Fourth Proportional to 515.46, 711.34 and 294.38

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Solution

The fourth proportional to 515.46, 711.34 and 294.38 is: 406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 711.34 = 294.38 : x
  2. Step 2: Convert to fraction form
    515.46/711.34 = 294.38/x
  3. Step 3: Cross multiply
    515.46x = 711.34 × 294.38
  4. Step 4: Simplify right side
    515.46x = 209,404.27
  5. Step 5: Solve for x
    x = 209,404.27/515.46
  6. Step 6: Final answer
    x = 406.25

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Double scale
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1.5x scale

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.