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Finding the Fourth Proportional to 478.63, 717.95 and 383.05

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Solution

The fourth proportional to 478.63, 717.95 and 383.05 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.63 : 717.95 = 383.05 : x
  2. Step 2: Convert to fraction form
    478.63/717.95 = 383.05/x
  3. Step 3: Cross multiply
    478.63x = 717.95 × 383.05
  4. Step 4: Simplify right side
    478.63x = 275,010.75
  5. Step 5: Solve for x
    x = 275,010.75/478.63
  6. Step 6: Final answer
    x = 574.58

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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.