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Finding the Fourth Proportional to 423.04, 583.33 and 310.50

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Solution

The fourth proportional to 423.04, 583.33 and 310.50 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 583.33 = 310.50 : x
  2. Step 2: Convert to fraction form
    423.04/583.33 = 310.50/x
  3. Step 3: Cross multiply
    423.04x = 583.33 × 310.50
  4. Step 4: Simplify right side
    423.04x = 181,123.97
  5. Step 5: Solve for x
    x = 181,123.97/423.04
  6. Step 6: Final answer
    x = 428.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.