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Finding the Fourth Proportional to 478.98, 716.68 and 284.08

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Solution

The fourth proportional to 478.98, 716.68 and 284.08 is: 425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 716.68 = 284.08 : x
  2. Step 2: Convert to fraction form
    478.98/716.68 = 284.08/x
  3. Step 3: Cross multiply
    478.98x = 716.68 × 284.08
  4. Step 4: Simplify right side
    478.98x = 203,594.45
  5. Step 5: Solve for x
    x = 203,594.45/478.98
  6. Step 6: Final answer
    x = 425.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.