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Finding the Fourth Proportional to 573.90, 862.39 and 314.10

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Solution

The fourth proportional to 573.90, 862.39 and 314.10 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.90 : 862.39 = 314.10 : x
  2. Step 2: Convert to fraction form
    573.90/862.39 = 314.10/x
  3. Step 3: Cross multiply
    573.90x = 862.39 × 314.10
  4. Step 4: Simplify right side
    573.90x = 270,875.91
  5. Step 5: Solve for x
    x = 270,875.91/573.90
  6. Step 6: Final answer
    x = 471.99

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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.