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Finding the Fourth Proportional to 392.95, 588.60 and 315.50

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Solution

The fourth proportional to 392.95, 588.60 and 315.50 is: 472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 588.60 = 315.50 : x
  2. Step 2: Convert to fraction form
    392.95/588.60 = 315.50/x
  3. Step 3: Cross multiply
    392.95x = 588.60 × 315.50
  4. Step 4: Simplify right side
    392.95x = 185,700.36
  5. Step 5: Solve for x
    x = 185,700.36/392.95
  6. Step 6: Final answer
    x = 472.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.