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Finding the Fourth Proportional to 520.90, 780.95 and 315.41

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Solution

The fourth proportional to 520.90, 780.95 and 315.41 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 780.95 = 315.41 : x
  2. Step 2: Convert to fraction form
    520.90/780.95 = 315.41/x
  3. Step 3: Cross multiply
    520.90x = 780.95 × 315.41
  4. Step 4: Simplify right side
    520.90x = 246,319.83
  5. Step 5: Solve for x
    x = 246,319.83/520.90
  6. Step 6: Final answer
    x = 472.88

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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.