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Finding the Fourth Proportional to 515.66, 711.23 and 328.95

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Solution

The fourth proportional to 515.66, 711.23 and 328.95 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.66 : 711.23 = 328.95 : x
  2. Step 2: Convert to fraction form
    515.66/711.23 = 328.95/x
  3. Step 3: Cross multiply
    515.66x = 711.23 × 328.95
  4. Step 4: Simplify right side
    515.66x = 233,957.46
  5. Step 5: Solve for x
    x = 233,957.46/515.66
  6. Step 6: Final answer
    x = 453.71

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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.