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Finding the Fourth Proportional to 478.08, 659.84 and 307.84

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Solution

The fourth proportional to 478.08, 659.84 and 307.84 is: 424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 659.84 = 307.84 : x
  2. Step 2: Convert to fraction form
    478.08/659.84 = 307.84/x
  3. Step 3: Cross multiply
    478.08x = 659.84 × 307.84
  4. Step 4: Simplify right side
    478.08x = 203,125.15
  5. Step 5: Solve for x
    x = 203,125.15/478.08
  6. Step 6: Final answer
    x = 424.88

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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.