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Finding the Fourth Proportional to 589.02, 883.70 and 314.90

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Solution

The fourth proportional to 589.02, 883.70 and 314.90 is: 472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 883.70 = 314.90 : x
  2. Step 2: Convert to fraction form
    589.02/883.70 = 314.90/x
  3. Step 3: Cross multiply
    589.02x = 883.70 × 314.90
  4. Step 4: Simplify right side
    589.02x = 278,277.13
  5. Step 5: Solve for x
    x = 278,277.13/589.02
  6. Step 6: Final answer
    x = 472.44

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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.