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Finding the Fourth Proportional to 423.46, 584 and 266.11

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Solution

The fourth proportional to 423.46, 584 and 266.11 is: 367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 584 = 266.11 : x
  2. Step 2: Convert to fraction form
    423.46/584 = 266.11/x
  3. Step 3: Cross multiply
    423.46x = 584 × 266.11
  4. Step 4: Simplify right side
    423.46x = 155,408.24
  5. Step 5: Solve for x
    x = 155,408.24/423.46
  6. Step 6: Final answer
    x = 367.00

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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.