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Finding the Fourth Proportional to 478.07, 716.51 and 203.84

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Solution

The fourth proportional to 478.07, 716.51 and 203.84 is: 305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.07 : 716.51 = 203.84 : x
  2. Step 2: Convert to fraction form
    478.07/716.51 = 203.84/x
  3. Step 3: Cross multiply
    478.07x = 716.51 × 203.84
  4. Step 4: Simplify right side
    478.07x = 146,054.17
  5. Step 5: Solve for x
    x = 146,054.17/478.07
  6. Step 6: Final answer
    x = 305.51

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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.