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Finding the Fourth Proportional to 478.85, 661.09 and 384.08

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Solution

The fourth proportional to 478.85, 661.09 and 384.08 is: 530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.85 : 661.09 = 384.08 : x
  2. Step 2: Convert to fraction form
    478.85/661.09 = 384.08/x
  3. Step 3: Cross multiply
    478.85x = 661.09 × 384.08
  4. Step 4: Simplify right side
    478.85x = 253,912.14
  5. Step 5: Solve for x
    x = 253,912.14/478.85
  6. Step 6: Final answer
    x = 530.25

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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.