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Finding the Fourth Proportional to 477.04, 658.83 and 384.09

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Solution

The fourth proportional to 477.04, 658.83 and 384.09 is: 530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 658.83 = 384.09 : x
  2. Step 2: Convert to fraction form
    477.04/658.83 = 384.09/x
  3. Step 3: Cross multiply
    477.04x = 658.83 × 384.09
  4. Step 4: Simplify right side
    477.04x = 253,052.69
  5. Step 5: Solve for x
    x = 253,052.69/477.04
  6. Step 6: Final answer
    x = 530.46

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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.