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Finding the Fourth Proportional to 878.02, 1,315.20 and 416.20

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Solution

The fourth proportional to 878.02, 1,315.20 and 416.20 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.02 : 1,315.20 = 416.20 : x
  2. Step 2: Convert to fraction form
    878.02/1,315.20 = 416.20/x
  3. Step 3: Cross multiply
    878.02x = 1,315.20 × 416.20
  4. Step 4: Simplify right side
    878.02x = 547,386.24
  5. Step 5: Solve for x
    x = 547,386.24/878.02
  6. Step 6: Final answer
    x = 623.43

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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.